77688384 has 56 divisors (see below), whose sum is σ = 206532480. Its totient is φ = 25772544.

The previous prime is 77688343. The next prime is 77688389. The reversal of 77688384 is 48388677.

It is not an unprimeable number, because it can be changed into a prime (77688389) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45042 + ... + 46734.

It is an arithmetic number, because the mean of its divisors is an integer number (3688080).

Almost surely, 2^77688384 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 77688384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103266240).

77688384 is an abundant number, since it is smaller than the sum of its proper divisors (128844096).

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

77688384 is a wasteful number, since it uses less digits than its factorization.

77688384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1947 (or 1937 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 51.

The square root of 77688384 is about 8814.1014289603. The cubic root of 77688384 is about 426.6961220984.

The spelling of 77688384 in words is "seventy-seven million, six hundred eighty-eight thousand, three hundred eighty-four".