792288960 has 56 divisors (see below), whose sum is σ = 2515520496. Its totient is φ = 211276800.

The previous prime is 792288953. The next prime is 792288967. The reversal of 792288960 is 69882297.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (792288953) and next prime (792288967).

It is a super-2 number, since 2×792288960² = 1255443592275763200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (792288967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 411691 + ... + 413610.

Almost surely, 2^792288960 is an apocalyptic number.

It is an amenable number.

792288960 is an abundant number, since it is smaller than the sum of its proper divisors (1723231536).

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

792288960 is a wasteful number, since it uses less digits than its factorization.

792288960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825321 (or 825311 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The square root of 792288960 is about 28147.6279640044. The cubic root of 792288960 is about 925.3255090089.

It can be divided in two parts, 79228 and 8960, that added together give a palindrome (88188).

The spelling of 792288960 in words is "seven hundred ninety-two million, two hundred eighty-eight thousand, nine hundred sixty".