768
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 2044
- Proper Divisor Sum (Aliquot Sum)
- 1276
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 256
- Möbius Function
- 0
- Radical
- 6
- Omega Function (Ω)
- 9
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 15
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Names
- German
- siebenhundertachtundsechzig· ordinal: siebenhundertachtundsechzigste
- English
- seven hundred sixty-eight· ordinal: seven hundred sixty-eighth
- Spanish
- setecientos sesenta y ocho· ordinal: 768º
- French
- sept cent soixante-huit· ordinal: sept cent soixante-huitième
- Italian
- settecentosessantotto· ordinal: 768º
- Latin
- septingenti sexaginta octo· ordinal: 768.
- Portuguese
- setecentos e sessenta e oito· ordinal: 768º
Appears in sequences
- Number of cusps of principal congruence subgroup Gamma^{hat}(n).at n=46A000114
- Number of ways of writing n as a sum of 4 squares; also theta series of four-dimensional cubic lattice Z^4.at n=42A000118
- a(n) = floor(n^2/3).at n=48A000212
- a(n) is smallest number > a(n-1) of form a(i)*a(j), i < j < n.at n=23A000423
- Number of monosubstituted alkanes C(n)H(2n+1)-X of the form shown in the Comments lines that are stereoisomers.at n=9A000622
- Jordan-Polya numbers: products of factorial numbers A000142.at n=28A001013
- Product of totient function: a(n) = Product_{k=1..n} phi(k) (cf. A000010).at n=8A001088
- Double-bitters: only even length runs in binary expansion.at n=16A001196
- Number of 5-line partitions of n.at n=11A001452
- a(n) = 3*4^(n-1), n>0; a(0)=1.at n=5A002001
- Number of divisors of n-th highly composite number.at n=55A002183
- G.f.: q * Product_{m>=1} (1-q^m)^8*(1-q^2m)^8.at n=12A002288
- Glaisher's function J(n) (18 squares version).at n=11A002613
- a(n) = n*phi(n).at n=47A002618
- Highest degree of an irreducible representation of symmetric group S_n of degree n.at n=9A003040
- Numbers which are the sum of 3 nonzero 4th powers.at n=24A003337
- Numbers that are the sum of 11 positive 5th powers.at n=33A003356
- Numbers that are the sum of 12 positive 6th powers.at n=13A003368
- Numbers that are the sum of 6 positive 7th powers.at n=6A003373
- Numbers that are the sum of 3 nonzero 8th powers.at n=3A003381