77530125 has 64 divisors (see below), whose sum is σ = 137479680. Its totient is φ = 38720000.

The previous prime is 77530111. The next prime is 77530151. The reversal of 77530125 is 52103577.

It is not a de Polignac number, because 77530125 - 2⁵ = 77530093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 77530092 and 77530101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 767575 + ... + 767675.

It is an arithmetic number, because the mean of its divisors is an integer number (2148120).

Almost surely, 2^77530125 is an apocalyptic number.

77530125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

77530125 is a deficient number, since it is larger than the sum of its proper divisors (59949555).

77530125 is a wasteful number, since it uses less digits than its factorization.

77530125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 7350, while the sum is 30.

The square root of 77530125 is about 8805.1192496184. The cubic root of 77530125 is about 426.4061842545.

The spelling of 77530125 in words is "seventy-seven million, five hundred thirty thousand, one hundred twenty-five".