792504972 has 240 divisors, whose sum is σ = 2546691840. Its totient is φ = 209858688.

The previous prime is 792504971. The next prime is 792504983. The reversal of 792504972 is 279405297.

792504972 is a `hidden beast` number, since 79 + 2 + 504 + 9 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (792504971) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2283703 + ... + 2284049.

It is an arithmetic number, because the mean of its divisors is an integer number (10611216).

Almost surely, 2^792504972 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 792504972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273345920).

792504972 is an abundant number, since it is smaller than the sum of its proper divisors (1754186868).

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

792504972 is a wasteful number, since it uses less digits than its factorization.

792504972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 431 counting only the distinct ones).

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

The square root of 792504972 is about 28151.4648286728. The cubic root of 792504972 is about 925.4095958599.

The spelling of 792504972 in words is "seven hundred ninety-two million, five hundred four thousand, nine hundred seventy-two".