77393664 has 72 divisors (see below), whose sum is σ = 228887120. Its totient is φ = 25795584.

The previous prime is 77393653. The next prime is 77393683. The reversal of 77393664 is 46639377.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1314 + ... + 12510.

Almost surely, 2^77393664 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 77393664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114443560).

77393664 is an abundant number, since it is smaller than the sum of its proper divisors (151493456).

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

77393664 is a wasteful number, since it uses less digits than its factorization.

77393664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11222 (or 11202 counting only the distinct ones).

The product of its digits is 571536, while the sum is 45.

The square root of 77393664 is about 8797.3668787882. The cubic root of 77393664 is about 426.1558644097.

The spelling of 77393664 in words is "seventy-seven million, three hundred ninety-three thousand, six hundred sixty-four".