78156864 has 84 divisors (see below), whose sum is σ = 228868224. Its totient is φ = 25489152.

The previous prime is 78156853. The next prime is 78156893. The reversal of 78156864 is 46865187.

It is a happy number.

78156864 is a `hidden beast` number, since 7 + 81 + 568 + 6 + 4 = 666.

It is a super-2 number, since 2×78156864² = 12216990780628992, 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, 25629 + ... + 28515.

Almost surely, 2^78156864 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 78156864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114434112).

78156864 is an abundant number, since it is smaller than the sum of its proper divisors (150711360).

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

78156864 is a wasteful number, since it uses less digits than its factorization.

78156864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2952 (or 2939 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 78156864 is about 8840.6370811158. The cubic root of 78156864 is about 427.5520978880.

The spelling of 78156864 in words is "seventy-eight million, one hundred fifty-six thousand, eight hundred sixty-four".