77884125 has 64 divisors (see below), whose sum is σ = 143769600. Its totient is φ = 37128000.

The previous prime is 77884099. The next prime is 77884127. The reversal of 77884125 is 52148877.

It is not a de Polignac number, because 77884125 - 2¹⁰ = 77883101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77884127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 325756 + ... + 325994.

It is an arithmetic number, because the mean of its divisors is an integer number (2246400).

Almost surely, 2^77884125 is an apocalyptic number.

77884125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

77884125 is a deficient number, since it is larger than the sum of its proper divisors (65885475).

77884125 is a wasteful number, since it uses less digits than its factorization.

77884125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 337 counting only the distinct ones).

The product of its digits is 125440, while the sum is 42.

The square root of 77884125 is about 8825.1982980554. The cubic root of 77884125 is about 427.0541845398.

The spelling of 77884125 in words is "seventy-seven million, eight hundred eighty-four thousand, one hundred twenty-five".