77831325 has 144 divisors (see below), whose sum is σ = 170614080. Its totient is φ = 33408000.

The previous prime is 77831311. The next prime is 77831357. The reversal of 77831325 is 52313877.

It is not a de Polignac number, because 77831325 - 2⁴ = 77831309 is a prime.

Its product of digits (35280) is a multiple of the sum of its prime factors (140).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 77831325.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1319146 + ... + 1319204.

It is an arithmetic number, because the mean of its divisors is an integer number (1184820).

Almost surely, 2^77831325 is an apocalyptic number.

77831325 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

77831325 is an abundant number, since it is smaller than the sum of its proper divisors (92782755).

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

77831325 is a wasteful number, since it uses less digits than its factorization.

77831325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 132 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 77831325 is about 8822.2063566888. The cubic root of 77831325 is about 426.9576584151.

The spelling of 77831325 in words is "seventy-seven million, eight hundred thirty-one thousand, three hundred twenty-five".