792682240 has 72 divisors (see below), whose sum is σ = 2169992160. Its totient is φ = 271773696.

The previous prime is 792682211. The next prime is 792682249. The reversal of 792682240 is 42286297.

It is a super-2 number, since 2×792682240² = 1256690267222835200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 792682193 and 792682202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (792682249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35275 + ... + 53194.

It is an arithmetic number, because the mean of its divisors is an integer number (30138780).

Almost surely, 2^792682240 is an apocalyptic number.

792682240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

792682240 is an abundant number, since it is smaller than the sum of its proper divisors (1377309920).

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

792682240 is an equidigital number, since it uses as much as digits as its factorization.

792682240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88497 (or 88483 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 792682240 is about 28154.6131211210. The cubic root of 792682240 is about 925.4785894454.

The spelling of 792682240 in words is "seven hundred ninety-two million, six hundred eighty-two thousand, two hundred forty".