77564745 has 48 divisors (see below), whose sum is σ = 143357760. Its totient is φ = 38683008.

The previous prime is 77564737. The next prime is 77564771. The reversal of 77564745 is 54746577.

It is not a de Polignac number, because 77564745 - 2³ = 77564737 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 77564745.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70419 + ... + 71511.

It is an arithmetic number, because the mean of its divisors is an integer number (2986620).

Almost surely, 2^77564745 is an apocalyptic number.

It is an amenable number.

77564745 is a deficient number, since it is larger than the sum of its proper divisors (65793015).

77564745 is a wasteful number, since it uses less digits than its factorization.

77564745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1203 counting only the distinct ones).

The product of its digits is 823200, while the sum is 45.

The square root of 77564745 is about 8807.0849320306. The cubic root of 77564745 is about 426.4696433954.

The spelling of 77564745 in words is "seventy-seven million, five hundred sixty-four thousand, seven hundred forty-five".