78756864 has 88 divisors (see below), whose sum is σ = 216949248. Its totient is φ = 25374720.

The previous prime is 78756863. The next prime is 78756907. The reversal of 78756864 is 46865787.

It is a super-2 number, since 2×78756864² = 12405287254228992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78756863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94819 + ... + 95645.

Almost surely, 2^78756864 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 78756864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108474624).

78756864 is an abundant number, since it is smaller than the sum of its proper divisors (138192384).

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

78756864 is a wasteful number, since it uses less digits than its factorization.

78756864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 863 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 51.

The square root of 78756864 is about 8874.5064088094. The cubic root of 78756864 is about 428.6433971837.

The spelling of 78756864 in words is "seventy-eight million, seven hundred fifty-six thousand, eight hundred sixty-four".