796761504 has 576 divisors, whose sum is σ = 3119800320. Its totient is φ = 186624000.

The previous prime is 796761499. The next prime is 796761527. The reversal of 796761504 is 405167697.

It is a happy number.

796761504 is a `hidden beast` number, since 79 + 6 + 76 + 1 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 796761504.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13061634 + ... + 13061694.

It is an arithmetic number, because the mean of its divisors is an integer number (5416320).

Almost surely, 2^796761504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 796761504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559900160).

796761504 is an abundant number, since it is smaller than the sum of its proper divisors (2323038816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

796761504 is a wasteful number, since it uses less digits than its factorization.

796761504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 796761504 is about 28226.9641300654. The cubic root of 796761504 is about 927.0634253828.

The spelling of 796761504 in words is "seven hundred ninety-six million, seven hundred sixty-one thousand, five hundred four".