792859968 has 336 divisors, whose sum is σ = 2601285120. Its totient is φ = 236390400.

The previous prime is 792859943. The next prime is 792860011. The reversal of 792859968 is 869958297.

It is a super-2 number, since 2×792859968² = 1257253857713922048, which contains 22 as substring.

Its product of digits (19595520) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19338028 + ... + 19338068.

It is an arithmetic number, because the mean of its divisors is an integer number (7741920).

Almost surely, 2^792859968 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 792859968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300642560).

792859968 is an abundant number, since it is smaller than the sum of its proper divisors (1808425152).

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

792859968 is a wasteful number, since it uses less digits than its factorization.

792859968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 96 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 63.

The square root of 792859968 is about 28157.7692298236. The cubic root of 792859968 is about 925.5477517397.

It can be divided in two parts, 79285 and 9968, that added together give a triangular number (89253 = T₄₂₂).

The spelling of 792859968 in words is "seven hundred ninety-two million, eight hundred fifty-nine thousand, nine hundred sixty-eight".