792664704 has 160 divisors (see below), whose sum is σ = 2540847540. Its totient is φ = 243855360.

The previous prime is 792664693. The next prime is 792664759. The reversal of 792664704 is 407466297.

792664704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 792535104 + 129600 = 28152^2 + 360^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 792664704.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 131844 + ... + 137724.

Almost surely, 2^792664704 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 792664704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270423770).

792664704 is an abundant number, since it is smaller than the sum of its proper divisors (1748182836).

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

792664704 is a wasteful number, since it uses less digits than its factorization.

792664704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5920 (or 5899 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 792664704 is about 28154.3016961885. The cubic root of 792664704 is about 925.4717648056.

The spelling of 792664704 in words is "seven hundred ninety-two million, six hundred sixty-four thousand, seven hundred four".