792016632 has 72 divisors (see below), whose sum is σ = 2357802720. Its totient is φ = 240002400.

The previous prime is 792016567. The next prime is 792016657. The reversal of 792016632 is 236610297.

792016632 is a `hidden beast` number, since 7 + 9 + 2 + 0 + 16 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

792016632 is a modest number, since divided by 16632 gives 792 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 36744 + ... + 54167.

It is an arithmetic number, because the mean of its divisors is an integer number (32747260).

Almost surely, 2^792016632 is an apocalyptic number.

792016632 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

792016632 is an abundant number, since it is smaller than the sum of its proper divisors (1565786088).

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

792016632 is a wasteful number, since it uses less digits than its factorization.

792016632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90945 (or 90927 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 792016632 is about 28142.7900535821. The cubic root of 792016632 is about 925.2194782822.

The spelling of 792016632 in words is "seven hundred ninety-two million, sixteen thousand, six hundred thirty-two".