792072000 has 448 divisors, whose sum is σ = 3074822400. Its totient is φ = 199065600.

The previous prime is 792071993. The next prime is 792072013. The reversal of 792072000 is 270297.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 4103904 + ... + 4104096.

Almost surely, 2^792072000 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 792072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537411200).

792072000 is an abundant number, since it is smaller than the sum of its proper divisors (2282750400).

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

792072000 is a wasteful number, since it uses less digits than its factorization.

792072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 792072000 is about 28143.7737341672. The cubic root of 792072000 is about 925.2410377446.

The spelling of 792072000 in words is "seven hundred ninety-two million, seventy-two thousand".