792000079920 has 480 divisors, whose sum is σ = 3125623947264. Its totient is φ = 175949107200.

The previous prime is 792000079919. The next prime is 792000079939. The reversal of 792000079920 is 29970000297.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55992369 + ... + 56006511.

Almost surely, 2^792000079920 is an apocalyptic number.

792000079920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 792000079920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562811973632).

792000079920 is an abundant number, since it is smaller than the sum of its proper divisors (2333623867344).

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

792000079920 is a wasteful number, since it uses less digits than its factorization.

792000079920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14481 (or 14472 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The spelling of 792000079920 in words is "seven hundred ninety-two billion, seventy-nine thousand, nine hundred twenty".