792399972 has 192 divisors, whose sum is σ = 2370816000. Its totient is φ = 204624000.

The previous prime is 792399953. The next prime is 792400009. The reversal of 792399972 is 279993297.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3156847 + ... + 3157097.

It is an arithmetic number, because the mean of its divisors is an integer number (12348000).

Almost surely, 2^792399972 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 792399972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185408000).

792399972 is an abundant number, since it is smaller than the sum of its proper divisors (1578416028).

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

792399972 is a wasteful number, since it uses less digits than its factorization.

792399972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 335 counting only the distinct ones).

The product of its digits is 3857868, while the sum is 57.

The square root of 792399972 is about 28149.5998550601. The cubic root of 792399972 is about 925.3687244868.

The spelling of 792399972 in words is "seven hundred ninety-two million, three hundred ninety-nine thousand, nine hundred seventy-two".