77587664 has 80 divisors (see below), whose sum is σ = 190273536. Its totient is φ = 29769600.

The previous prime is 77587663. The next prime is 77587667. The reversal of 77587664 is 46678577.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77587663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87029 + ... + 87915.

Almost surely, 2^77587664 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 77587664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95136768).

77587664 is an abundant number, since it is smaller than the sum of its proper divisors (112685872).

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

77587664 is a wasteful number, since it uses less digits than its factorization.

77587664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 978 counting only the distinct ones).

The product of its digits is 1975680, while the sum is 50.

The square root of 77587664 is about 8808.3860042575. The cubic root of 77587664 is about 426.5116439856.

The spelling of 77587664 in words is "seventy-seven million, five hundred eighty-seven thousand, six hundred sixty-four".