77679616 has 44 divisors (see below), whose sum is σ = 177483088. Its totient is φ = 33288192.

The previous prime is 77679601. The next prime is 77679631. The reversal of 77679616 is 61697677.

It is an interprime number because it is at equal distance from previous prime (77679601) and next prime (77679631).

It is a self number, because there is not a number n which added to its sum of digits gives 77679616.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1750 + ... + 12586.

Almost surely, 2^77679616 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 77679616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88741544).

77679616 is an abundant number, since it is smaller than the sum of its proper divisors (99803472).

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

77679616 is a wasteful number, since it uses less digits than its factorization.

77679616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10864 (or 10846 counting only the distinct ones).

The product of its digits is 666792, while the sum is 49.

The square root of 77679616 is about 8813.6040301343. The cubic root of 77679616 is about 426.6800690234.

The spelling of 77679616 in words is "seventy-seven million, six hundred seventy-nine thousand, six hundred sixteen".