792364032 has 220 divisors, whose sum is σ = 2434267836. Its totient is φ = 256573440.

The previous prime is 792364021. The next prime is 792364039. The reversal of 792364032 is 230463297.

It is a happy number.

792364032 is a `hidden beast` number, since 7 + 9 + 2 + 3 + 640 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 90326016 + 702038016 = 9504^2 + 26496^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (792364039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3400588 + ... + 3400820.

Almost surely, 2^792364032 is an apocalyptic number.

792364032 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 792364032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217133918).

792364032 is an abundant number, since it is smaller than the sum of its proper divisors (1641903804).

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

792364032 is a wasteful number, since it uses less digits than its factorization.

792364032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 792364032 is about 28148.9614728501. The cubic root of 792364032 is about 925.3547339703.

The spelling of 792364032 in words is "seven hundred ninety-two million, three hundred sixty-four thousand, thirty-two".