792972180 has 576 divisors, whose sum is σ = 3369719808. Its totient is φ = 151165440.

The previous prime is 792972149. The next prime is 792972223. The reversal of 792972180 is 81279297.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4864779 + ... + 4864941.

It is an arithmetic number, because the mean of its divisors is an integer number (5850208).

Almost surely, 2^792972180 is an apocalyptic number.

792972180 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 792972180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684859904).

792972180 is an abundant number, since it is smaller than the sum of its proper divisors (2576747628).

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

792972180 is a wasteful number, since it uses less digits than its factorization.

792972180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 792972180 is about 28159.7617177419. The cubic root of 792972180 is about 925.5914133653.

The spelling of 792972180 in words is "seven hundred ninety-two million, nine hundred seventy-two thousand, one hundred eighty".