77638884900 has 72 divisors (see below), whose sum is σ = 236458094880. Its totient is φ = 19614032640.

The previous prime is 77638884889. The next prime is 77638884901. The reversal of 77638884900 is 948883677.

It is a super-4 number, since 4×77638884900⁴ (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (77638884901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6804729 + ... + 6816128.

Almost surely, 2^77638884900 is an apocalyptic number.

It is an amenable number.

77638884900 is an abundant number, since it is smaller than the sum of its proper divisors (158819209980).

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

77638884900 is a wasteful number, since it uses less digits than its factorization.

77638884900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13620893 (or 13620886 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 60.

The spelling of 77638884900 in words is "seventy-seven billion, six hundred thirty-eight million, eight hundred eighty-four thousand, nine hundred".