792509952 has 240 divisors, whose sum is σ = 2372312448. Its totient is φ = 234823680.

The previous prime is 792509929. The next prime is 792509957. The reversal of 792509952 is 259905297.

792509952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (792509957) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11162077 + ... + 11162147.

Almost surely, 2^792509952 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 792509952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186156224).

792509952 is an abundant number, since it is smaller than the sum of its proper divisors (1579802496).

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

792509952 is a wasteful number, since it uses less digits than its factorization.

792509952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 48.

The square root of 792509952 is about 28151.5532786381. The cubic root of 792509952 is about 925.4115342411.

The spelling of 792509952 in words is "seven hundred ninety-two million, five hundred nine thousand, nine hundred fifty-two".