77528985 has 32 divisors (see below), whose sum is σ = 129088512. Its totient is φ = 39690240.

The previous prime is 77528963. The next prime is 77528989. The reversal of 77528985 is 58982577.

It is not a de Polignac number, because 77528985 - 2⁵ = 77528953 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (77528989) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63097 + ... + 64313.

It is an arithmetic number, because the mean of its divisors is an integer number (4034016).

Almost surely, 2^77528985 is an apocalyptic number.

It is an amenable number.

77528985 is a deficient number, since it is larger than the sum of its proper divisors (51559527).

77528985 is a wasteful number, since it uses less digits than its factorization.

77528985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393.

The product of its digits is 1411200, while the sum is 51.

The square root of 77528985 is about 8805.0545143117. The cubic root of 77528985 is about 426.4040942909.

The spelling of 77528985 in words is "seventy-seven million, five hundred twenty-eight thousand, nine hundred eighty-five".