792241632 has 576 divisors, whose sum is σ = 3067384320. Its totient is φ = 188116992.

The previous prime is 792241609. The next prime is 792241657. The reversal of 792241632 is 236142297.

792241632 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 (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18424203 + ... + 18424245.

It is an arithmetic number, because the mean of its divisors is an integer number (5325320).

Almost surely, 2^792241632 is an apocalyptic number.

792241632 is a gapful number since it is divisible by the number (72) 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 792241632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533692160).

792241632 is an abundant number, since it is smaller than the sum of its proper divisors (2275142688).

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

792241632 is a wasteful number, since it uses less digits than its factorization.

792241632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 124 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 792241632 is about 28146.7872411755. The cubic root of 792241632 is about 925.3070836280.

The spelling of 792241632 in words is "seven hundred ninety-two million, two hundred forty-one thousand, six hundred thirty-two".