77032125 has 24 divisors (see below), whose sum is σ = 138865272. Its totient is φ = 41083200.

The previous prime is 77032121. The next prime is 77032157. The reversal of 77032125 is 52123077.

It can be written as a sum of positive squares in 4 ways, for example, as 13972644 + 63059481 = 3738^2 + 7941^2 .

It is not a de Polignac number, because 77032125 - 2² = 77032121 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77032121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33112 + ... + 35361.

It is an arithmetic number, because the mean of its divisors is an integer number (5786053).

Almost surely, 2^77032125 is an apocalyptic number.

77032125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

77032125 is a deficient number, since it is larger than the sum of its proper divisors (61833147).

77032125 is a wasteful number, since it uses less digits than its factorization.

77032125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68494 (or 68481 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 77032125 is about 8776.7946882675. The cubic root of 77032125 is about 425.4912428126.

The spelling of 77032125 in words is "seventy-seven million, thirty-two thousand, one hundred twenty-five".