78564880 has 20 divisors (see below), whose sum is σ = 182663532. Its totient is φ = 31425920.

The previous prime is 78564877. The next prime is 78564883. The reversal of 78564880 is 8846587.

It is an interprime number because it is at equal distance from previous prime (78564877) and next prime (78564883).

It can be written as a sum of positive squares in 2 ways, for example, as 14500864 + 64064016 = 3808^2 + 8004^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 78564880.

It is not an unprimeable number, because it can be changed into a prime (78564883) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 490951 + ... + 491110.

Almost surely, 2^78564880 is an apocalyptic number.

It is an amenable number.

78564880 is an abundant number, since it is smaller than the sum of its proper divisors (104098652).

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

78564880 is a wasteful number, since it uses less digits than its factorization.

78564880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982074 (or 982068 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 46.

The square root of 78564880 is about 8863.6832073354. The cubic root of 78564880 is about 428.2948153662.

The spelling of 78564880 in words is "seventy-eight million, five hundred sixty-four thousand, eight hundred eighty".