77475664 has 60 divisors (see below), whose sum is σ = 184920084. Its totient is φ = 31245312.

The previous prime is 77475653. The next prime is 77475683. The reversal of 77475664 is 46657477.

It can be written as a sum of positive squares in 2 ways, for example, as 57153600 + 20322064 = 7560^2 + 4508^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10422 + ... + 16234.

Almost surely, 2^77475664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77475664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92460042).

77475664 is an abundant number, since it is smaller than the sum of its proper divisors (107444420).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

77475664 is a wasteful number, since it uses less digits than its factorization.

77475664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5852 (or 5839 counting only the distinct ones).

The product of its digits is 987840, while the sum is 46.

The square root of 77475664 is about 8802.0261303861. The cubic root of 77475664 is about 426.3063179257.

The spelling of 77475664 in words is "seventy-seven million, four hundred seventy-five thousand, six hundred sixty-four".