792480000 has 360 divisors, whose sum is σ = 2860684288. Its totient is φ = 193536000.

The previous prime is 792479999. The next prime is 792480053. The reversal of 792480000 is 84297.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 792480000.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6239937 + ... + 6240063.

Almost surely, 2^792480000 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 792480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430342144).

792480000 is an abundant number, since it is smaller than the sum of its proper divisors (2068204288).

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

792480000 is a wasteful number, since it uses less digits than its factorization.

792480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 792480000 is about 28151.0212958607. The cubic root of 792480000 is about 925.3998758069.

The spelling of 792480000 in words is "seven hundred ninety-two million, four hundred eighty thousand".