792084825 has 240 divisors, whose sum is σ = 1879701120. Its totient is φ = 320993280.

The previous prime is 792084803. The next prime is 792084827. The reversal of 792084825 is 528480297.

792084825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 792084825 - 2⁵ = 792084793 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (792084827) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4578439 + ... + 4578611.

It is an arithmetic number, because the mean of its divisors is an integer number (7832088).

Almost surely, 2^792084825 is an apocalyptic number.

792084825 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

792084825 is an abundant number, since it is smaller than the sum of its proper divisors (1087616295).

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

792084825 is a wasteful number, since it uses less digits than its factorization.

792084825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 792084825 is about 28144.0015811540. The cubic root of 792084825 is about 925.2460314625.

The spelling of 792084825 in words is "seven hundred ninety-two million, eighty-four thousand, eight hundred twenty-five".