792728640 has 448 divisors, whose sum is σ = 3218688000. Its totient is φ = 181647360.

The previous prime is 792728617. The next prime is 792728687. The reversal of 792728640 is 46827297.

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 63 ways as a sum of consecutive naturals, for example, 1805541 + ... + 1805979.

Almost surely, 2^792728640 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 792728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609344000).

792728640 is an abundant number, since it is smaller than the sum of its proper divisors (2425959360).

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

792728640 is a wasteful number, since it uses less digits than its factorization.

792728640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 792728640 is about 28155.4371303306. The cubic root of 792728640 is about 925.4966468571.

The spelling of 792728640 in words is "seven hundred ninety-two million, seven hundred twenty-eight thousand, six hundred forty".