792408960 has 256 divisors, whose sum is σ = 3207859200. Its totient is φ = 181094400.

The previous prime is 792408931. The next prime is 792408961. The reversal of 792408960 is 69804297.

It is a happy number.

792408960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (792408961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117685 + ... + 124235.

It is an arithmetic number, because the mean of its divisors is an integer number (12530700).

Almost surely, 2^792408960 is an apocalyptic number.

792408960 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 792408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603929600).

792408960 is an abundant number, since it is smaller than the sum of its proper divisors (2415450240).

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

792408960 is a wasteful number, since it uses less digits than its factorization.

792408960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6586 (or 6568 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 792408960 is about 28149.7595016370. The cubic root of 792408960 is about 925.3722232177.

The spelling of 792408960 in words is "seven hundred ninety-two million, four hundred eight thousand, nine hundred sixty".