77577984 has 108 divisors (see below), whose sum is σ = 244090392. Its totient is φ = 23500800.

The previous prime is 77577971. The next prime is 77577991. The reversal of 77577984 is 48977577.

It is a self number, because there is not a number n which added to its sum of digits gives 77577984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23814 + ... + 26874.

Almost surely, 2^77577984 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 77577984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122045196).

77577984 is an abundant number, since it is smaller than the sum of its proper divisors (166512408).

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

77577984 is a wasteful number, since it uses less digits than its factorization.

77577984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3094 (or 3077 counting only the distinct ones).

The product of its digits is 3457440, while the sum is 54.

The square root of 77577984 is about 8807.8365107443. The cubic root of 77577984 is about 426.4939057515.

The spelling of 77577984 in words is "seventy-seven million, five hundred seventy-seven thousand, nine hundred eighty-four".