78117120 has 108 divisors (see below), whose sum is σ = 270316956. Its totient is φ = 20828160.

The previous prime is 78117079. The next prime is 78117133. The reversal of 78117120 is 2171187.

It can be written as a sum of positive squares in 2 ways, for example, as 31002624 + 47114496 = 5568^2 + 6864^2 .

It is a super-2 number, since 2×78117120² = 12204568874188800, which contains 22 as substring.

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, 8130 + ... + 14910.

Almost surely, 2^78117120 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 78117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135158478).

78117120 is an abundant number, since it is smaller than the sum of its proper divisors (192199836).

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

78117120 is a wasteful number, since it uses less digits than its factorization.

78117120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6808 (or 6791 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 27.

The square root of 78117120 is about 8838.3889934761. The cubic root of 78117120 is about 427.4796132681.

The spelling of 78117120 in words is "seventy-eight million, one hundred seventeen thousand, one hundred twenty".