792625 has 16 divisors (see below), whose sum is σ = 1050192. Its totient is φ = 595200.

The previous prime is 792613. The next prime is 792629. The reversal of 792625 is 526297.

It can be written as a sum of positive squares in 8 ways, for example, as 141376 + 651249 = 376^2 + 807^2 .

It is not a de Polignac number, because 792625 - 2⁵ = 792593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (792629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1939 + ... + 2311.

It is an arithmetic number, because the mean of its divisors is an integer number (65637).

2⁷⁹²⁶²⁵ is an apocalyptic number.

It is an amenable number.

792625 is a deficient number, since it is larger than the sum of its proper divisors (257567).

792625 is a wasteful number, since it uses less digits than its factorization.

792625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 395 counting only the distinct ones).

The product of its digits is 7560, while the sum is 31.

The square root of 792625 is about 890.2948949646. The cubic root of 792625 is about 92.5456312478.

It can be divided in two parts, 79 and 2625, that added together give a square (2704 = 52²).

The spelling of 792625 in words is "seven hundred ninety-two thousand, six hundred twenty-five".