790
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 1440
- Proper Divisor Sum (Aliquot Sum)
- 650
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 312
- Möbius Function
- -1
- Radical
- 790
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 77
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Names
- German
- siebenhundertneunzig· ordinal: siebenhundertneunzigste
- English
- seven hundred ninety· ordinal: seven hundred ninetieth
- Spanish
- setecientos noventa· ordinal: 790º
- French
- sept cent quatre-vingt-dix· ordinal: sept cent quatre-vingt-dixième
- Italian
- settecentonovanta· ordinal: 790º
- Latin
- septingenti nonaginta· ordinal: 790.
- Portuguese
- setecentos e noventa· ordinal: 790º
Appears in sequences
- One-half the number of permutations of length n with exactly 1 rising or falling successions.at n=7A000130
- A self-generating sequence: a(1)=1, a(2)=2, a(n+1) chosen so that a(n+1)-a(n-1) is the first number not obtainable as a(j)-a(i) for 1<=i<j<=n.at n=32A001149
- Expansion of (1+x^3)/((1-x)*(1-x^2)^2*(1-x^3)).at n=28A001973
- Numbers k such that k^16 + 1 is prime.at n=37A006313
- Left diagonal of partition triangle A047812.at n=19A007042
- Coordination sequence T3 for Zeolite Code CAS.at n=17A008065
- Coordination sequence T6 for Zeolite Code MEL.at n=18A008155
- Coordination sequence T1 for Zeolite Code NAT.at n=19A008203
- 3x+1 sequence starting at 97.at n=41A008873
- 3x+1 sequence starting at 63.at n=30A008874
- 3x+1 sequence starting at 95.at n=28A008875
- 3x+1 sequence starting at 27.at n=34A008884
- Index of central binomial coefficient C(2n,n) within A006987.at n=8A009561
- Triangle read by rows: T(n,k) is one-half the number of permutations of length n with exactly n-k rising or falling successions, for n >= 1, 1 <= k <= n. T(1,1) = 1 by convention.at n=26A010028
- Alternating Egyptian fraction expansion of Pi-3.at n=1A014013
- Numbers n such that phi(n) + 8 | sigma(n + 8), where phi = A000010 and sigma = A000203.at n=36A015787
- Numbers k such that phi(k + 13) | sigma(k).at n=30A015833
- Divisors of 790.at n=7A018648
- Values of n for which exp(Pi*sqrt(n)) is very close to an integer.at n=34A019296
- Numbers k such that the continued fraction for sqrt(k) has period 20.at n=13A020359