76988664 has 64 divisors (see below), whose sum is σ = 216036000. Its totient is φ = 25401600.

The previous prime is 76988663. The next prime is 76988669. The reversal of 76988664 is 46688967.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 76988664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76988663) 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, 20052 + ... + 23580.

Almost surely, 2^76988664 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 76988664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108018000).

76988664 is an abundant number, since it is smaller than the sum of its proper divisors (139047336).

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

76988664 is a wasteful number, since it uses less digits than its factorization.

76988664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3645 (or 3635 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 76988664 is about 8774.3184350695. The cubic root of 76988664 is about 425.4112080058.

The spelling of 76988664 in words is "seventy-six million, nine hundred eighty-eight thousand, six hundred sixty-four".