792982125 has 96 divisors (see below), whose sum is σ = 1567238400. Its totient is φ = 383356800.

The previous prime is 792982103. The next prime is 792982147. The reversal of 792982125 is 521289297.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (792982103) and next prime (792982147).

It is not a de Polignac number, because 792982125 - 2⁵ = 792982093 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a Curzon number.

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, 862416 + ... + 863334.

It is an arithmetic number, because the mean of its divisors is an integer number (16325400).

Almost surely, 2^792982125 is an apocalyptic number.

792982125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

792982125 is a deficient number, since it is larger than the sum of its proper divisors (774256275).

792982125 is a wasteful number, since it uses less digits than its factorization.

792982125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 999 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 792982125 is about 28159.9382989381. The cubic root of 792982125 is about 925.5952827604.

The spelling of 792982125 in words is "seven hundred ninety-two million, nine hundred eighty-two thousand, one hundred twenty-five".