78586984 has 96 divisors (see below), whose sum is σ = 183859200. Its totient is φ = 31328640.

The previous prime is 78586979. The next prime is 78586987. The reversal of 78586984 is 48968587.

It is not an unprimeable number, because it can be changed into a prime (78586987) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 352297 + ... + 352519.

It is an arithmetic number, because the mean of its divisors is an integer number (1915200).

Almost surely, 2^78586984 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 78586984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91929600).

78586984 is an abundant number, since it is smaller than the sum of its proper divisors (105272216).

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

78586984 is a wasteful number, since it uses less digits than its factorization.

78586984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 292 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 55.

The square root of 78586984 is about 8864.9300053638. The cubic root of 78586984 is about 428.3349780992.

The spelling of 78586984 in words is "seventy-eight million, five hundred eighty-six thousand, nine hundred eighty-four".