792334080 has 216 divisors, whose sum is σ = 2770928160. Its totient is φ = 209018880.

The previous prime is 792334073. The next prime is 792334087. The reversal of 792334080 is 80433297.

It is an interprime number because it is at equal distance from previous prime (792334073) and next prime (792334087).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (792334087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1255365 + ... + 1255995.

Almost surely, 2^792334080 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 792334080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385464080).

792334080 is an abundant number, since it is smaller than the sum of its proper divisors (1978594080).

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

792334080 is a wasteful number, since it uses less digits than its factorization.

792334080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 750 counting only the distinct ones).

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

The square root of 792334080 is about 28148.4294410896. The cubic root of 792334080 is about 925.3430741047.

The spelling of 792334080 in words is "seven hundred ninety-two million, three hundred thirty-four thousand, eighty".