792872064 has 224 divisors, whose sum is σ = 2458266300. Its totient is φ = 254306304.

The previous prime is 792872051. The next prime is 792872117. The reversal of 792872064 is 460278297.

It can be written as a sum of positive squares in 2 ways, for example, as 729000000 + 63872064 = 27000^2 + 7992^2 .

It is a super-2 number, since 2×792872064² = 1257292219743240192, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2705902 + ... + 2706194.

Almost surely, 2^792872064 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 792872064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229133150).

792872064 is an abundant number, since it is smaller than the sum of its proper divisors (1665394236).

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

792872064 is an equidigital number, since it uses as much as digits as its factorization.

792872064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 792872064 is about 28157.9840187468. The cubic root of 792872064 is about 925.5524584846.

The spelling of 792872064 in words is "seven hundred ninety-two million, eight hundred seventy-two thousand, sixty-four".