77972884 has 72 divisors (see below), whose sum is σ = 161621600. Its totient is φ = 32788800.

The previous prime is 77972879. The next prime is 77972887. The reversal of 77972884 is 48827977.

It is a happy number.

It is a super-4 number, since 4×77972884⁴ (a number of 33 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77972887) 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, 560887 + ... + 561025.

Almost surely, 2^77972884 is an apocalyptic number.

It is an amenable number.

77972884 is an abundant number, since it is smaller than the sum of its proper divisors (83648716).

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

77972884 is a wasteful number, since it uses less digits than its factorization.

77972884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 232 counting only the distinct ones).

The product of its digits is 1580544, while the sum is 52.

The square root of 77972884 is about 8830.2255916822. The cubic root of 77972884 is about 427.2163507164.

The spelling of 77972884 in words is "seventy-seven million, nine hundred seventy-two thousand, eight hundred eighty-four".