77305984 has 96 divisors (see below), whose sum is σ = 186537600. Its totient is φ = 31256064.

The previous prime is 77305937. The next prime is 77305997. The reversal of 77305984 is 48950377.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 77305984.

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, 323337 + ... + 323575.

It is an arithmetic number, because the mean of its divisors is an integer number (1943100).

Almost surely, 2^77305984 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 77305984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93268800).

77305984 is an abundant number, since it is smaller than the sum of its proper divisors (109231616).

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

77305984 is a wasteful number, since it uses less digits than its factorization.

77305984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 43.

The square root of 77305984 is about 8792.3821572996. The cubic root of 77305984 is about 425.9948716201.

The spelling of 77305984 in words is "seventy-seven million, three hundred five thousand, nine hundred eighty-four".