792872964 has 135 divisors (see below), whose sum is σ = 2290803333. Its totient is φ = 231120864.

The previous prime is 792872959. The next prime is 792872981. The reversal of 792872964 is 469278297.

The square root of 792872964 is 28158.

It is a perfect power (a square), and thus also a powerful number.

792872964 is a `hidden beast` number, since 79 + 287 + 296 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 117288900 + 675584064 = 10830^2 + 25992^2 .

Its product of digits (3048192) is a multiple of the sum of its prime factors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 792872964.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 41730147 + ... + 41730165.

Almost surely, 2^792872964 is an apocalyptic number.

792872964 is the 28158-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 792872964

792872964 is an abundant number, since it is smaller than the sum of its proper divisors (1497930369).

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

792872964 is a wasteful number, since it uses less digits than its factorization.

792872964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 37 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The cubic root of 792872964 is about 925.5528086869.

The spelling of 792872964 in words is "seven hundred ninety-two million, eight hundred seventy-two thousand, nine hundred sixty-four".