77639616 has 84 divisors (see below), whose sum is σ = 228617272. Its totient is φ = 25173504.

The previous prime is 77639591. The next prime is 77639621. The reversal of 77639616 is 61693677.

77639616 is a `hidden beast` number, since 7 + 7 + 639 + 6 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19491 + ... + 23133.

Almost surely, 2^77639616 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 77639616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114308636).

77639616 is an abundant number, since it is smaller than the sum of its proper divisors (150977656).

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

77639616 is a wasteful number, since it uses less digits than its factorization.

77639616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3698 (or 3685 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The square root of 77639616 is about 8811.3345186754. The cubic root of 77639616 is about 426.6068188626.

The spelling of 77639616 in words is "seventy-seven million, six hundred thirty-nine thousand, six hundred sixteen".