700 (number)

700 (seven hundred) is the natural number following 699 and preceding 701.


Cardinal	Seven hundred
Ordinal	700th
Factorization	$2^2 \cdot 5^2 \cdot 7$
Roman numeral	DCC
Binary	1010111100
Duodecimal	4A4
Hexadecimal	2BC
Vigesimal	1F0

It is the sum of four consecutive primes (167 + 173 + 179 + 181). It is a Harshad number.

700 is also:

The year AD, see 700.
The decade beginning in the year 700 BC, see 700s BC.
A television show aired on the Christian Believer's Network, see The 700 Club.

701 prime number, sum of three consecutive primes (229 + 233 + 239), Chen prime, Eisenstein prime with no imaginary part, the area code for North Dakota

702 = 2 × 3³ × 13, pronic number, nontotient, Harshad number

703 = 19 × 37, triangular number, hexagonal number, smallest number requiring 73 fifth powers for Waring representation, Kaprekar number

704 = 2⁶ × 11, Harshad number

705 = 3 × 5 × 47, sphenic number

706 = 2 × 353, nontotient, Smith number

707 = 7 × 101, sum of five consecutive primes (131 + 137 + 139 + 149 + 151)

708 = 2² × 3 × 59

709 prime number

710 = 2 × 5 × 71, sphenic number, nontotient, Harshad number

711 = 3² × 79. Also the phone number of Telecommunications Relay Service, commonly used by the deaf and hard-of-hearing.

712 = 2³ × 89, sum of the first twenty-one primes, totient sum for first 48 integers, the number of the ambulance on the TV show Saved

713 = 23 × 31, sum of three consecutive primes (233 + 239 + 241), in the Harry Potter movies, Dumbledore's vault at Gringotts Bank is 713.

714 = 2 × 3 × 7 × 17, nontotient, member of Ruth-Aaron pair (either definition)

715 = 5 × 11 × 13, sphenic number, pentatope number, member of Ruth-Aaron pair (either definition), Harshad number

716 = 2² × 179

717 = 3 × 239

718 = 2 × 359

719 prime number, factorial prime, Sophie Germain prime, safe prime, sum of seven consecutive primes (89 + 97 + 101 + 103 + 107 + 109 + 113), Chen prime, Eisenstein prime with no imaginary part

720（seven hundred ^* twenty）= 2⁴ × 3² × 5.

6 factorial, highly composite number, Harshad number in every base from binary to decimal, highly totient number.
two round angles (= 2 × 360).
five gross (= 500 duodecimal, 5 × 144).
241-gonal number.

721 = 7 × 103, sum of nine consecutive primes (61 + 67 + 71 + 73 + 79 + 83 + 89 + 97 + 101), centered hexagonal number

722 = 2 × 19², nontotient

723 = 3 × 241

724 = 2² × 181, sum of four consecutive primes (173 + 179 + 181 + 191), sum of six consecutive primes (107 + 109 + 113 + 127 + 131 + 137), nontotient

the number of n-Queens Problem solutions for n = 10,

725 = 5² × 29

726 = 2 × 3 × 11², pentagonal pyramidal number

727 prime number, palindromic prime, Lucky prime

728 = 2³ 7 × 13, nontotient, Smith number

729（seven hundred ^* twenty-nine） = 3⁶ = 27².

the square of 27, and the cube of 9.
centered octagonal number, Smith number

730 = 2 × 5 × 73, sphenic number, nontotient, Harshad number

731 = 17 × 43, sum of three consecutive primes (239 + 241 + 251)

732 = 2² × 3 × 61, sum of eight consecutive primes (73 + 79 + 83 + 89 + 97 + 101 + 103 + 107), sum of ten consecutive primes (53 + 59 + 61 + 67 + 71 + 73 + 79 + 83 + 89 + 97), Harshad number

733 prime number, balanced prime, permutable prime, sum of five consecutive primes (137 + 139 + 149 + 151 + 157)

734 = 2 × 367, nontotient

735 = 3 × 5 × 7², Harshad number

736 = 2⁵ × 23, centered heptagonal number, nice Friedman number since 736 = 7 + 3^6, Harshad number

737 = 11 × 67

738 = 2 × 3² × 41, Harshad number

739 prime number, strictly non-palindromic number, Lucky prime

740 = 2² × 5 × 37, nontotient

741 = 3 × 13 × 19, sphenic number, triangular number

742 = 2 × 7 × 53, decagonal number

743 prime number, Sophie Germain prime, Chen prime, Eisenstein prime with no imaginary part

744 = 2³ × 3 × 31, sum of four consecutive primes (179 + 181 + 191 + 193)

745 = 5 × 149

746 = 2 × 373, nontotient

747 = 3² × 83, model number of the Boeing 747, perhaps the most famous Boeing aircraft

748 = 2² × 11 × 17, nontotient

749 = 7 × 107, sum of three consecutive primes (241 + 251 + 257)

750（seven hundred ^* fifty）= 2 × 3 × 5³, enneagonal number.

751 prime number, Chen prime

752 = 2⁴ 47, nontotient

753 = 3 × 251

754 = 2 × 13 × 29, sphenic number, nontotient, totient sum for first 49 integers

755 = 5 × 151

756 = 2² × 3³ × 7, sum of six consecutive primes (109 + 113 + 127 + 131 + 137 + 139), pronic number, Harshad number

757 prime number, palindromic prime, sum of seven consecutive primes (97 + 101 + 103 + 107 + 109 + 113 + 127)

758 = 2 × 379, nontotient

759 = 3 × 11 × 23, sphenic number, sum of five consecutive primes (139 + 149 + 151 + 157 + 163)

760 = 2³ × 5 × 19, centered triangular number

761 prime number, Sophie Germain prime, Chen prime, Eisenstein prime with no imaginary part, centered square number

762 = 2 × 3 × 127, sphenic number, sum of four consecutive primes (181 + 191 + 193 + 197), nontotient, Smith number

763 = 7 × 109, sum of nine consecutive primes (67 + 71 + 73 + 79 + 83 + 89 + 97 + 101 + 103)

764 = 2² × 191

765 = a Japanese word-play for Namco; 3² × 5 × 17

766 = 2 × 383, centered pentagonal number, nontotient

767 = 13 × 59, Thabit number

768 = 2⁸ × 3, sum of eight consecutive primes (79 + 83 + 89 + 97 + 101 + 103 + 107 + 109)

769 prime number, Chen prime, Lucky prime

770 = 2 × 5 × 7 × 11, nontotient, Harshad number

771 = 3 × 257, sum of three consecutive primes (251 + 257 + 263)

772 = 2² × 193

773 prime number, Eisenstein prime with no imaginary part, tetranacci number

774 = 2 × 3² × 43, nontotient, totient sum for first 50 integers, Harshad number

775 = 5² × 31

776 = 2³ × 97

777 = 3 × 7 × 37, sphenic number, Harshad number, 3333 in senary (base 6) counting

778 = 2 × 389, nontotient, Smith number

779 = 19 × 41, highly cototient number

780 = 2² × 3 × 5 × 13, sum of four consecutive primes (191 + 193 + 197 + 199), sum of ten consecutive primes (59 + 61 + 67 + 71 + 73 + 79 + 83 + 89 + 97 + 101), triangular number, hexagonal number, Harshad number

781 = 11 × 71, Mertens function(781) = 0

782 = 2 × 17 × 23, sphenic number, nontotient, Harshad number, also, 782 gear used by U.S. Marines

783 = 3³ × 29

784 = 2⁴ × 7² = 28², sum of the cubes of the first seven integers

785 = 5 × 157, Mertens function(785) = 0

786 = 2 × 3 × 131, sphenic number. See also its use in Muslim numerological symbolism.

787 prime number, palindromic prime, sum of five consecutive primes (149 + 151 + 157 + 163 + 167), Chen prime, Lucky prime

788 = 2² × 197, nontotient

789 = 3 × 263, sum of three consecutive primes (257 + 263 + 269)

790 = 2 × 5 × 79, sphenic number, nontotient

791 = 7 × 113, sum of the first twenty-two primes, sum of seven consecutive primes (101 + 103 + 107 + 109 + 113 + 127 + 131)

792 = 2³ × 3² × 11, Harshad number

793 = 13 × 61, Mertens function(793) = 0, star number

794 = 2 × 397, nontotient

795 = 3 × 5 × 53, Mertens function(795) = 0

796 = 2² × 199, sum of six consecutive primes (113 + 127 + 131 + 137 + 139 + 149), Mertens function(796) = 0

797 prime number, Chen prime, Eisenstein prime with no imaginary part, palindromic prime

798 = 2 × 3 × 7 × 19, Mertens function(798) = 0, nontotient

799 = 17 × 47

Integers

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