78756 has 12 divisors (see below), whose sum is σ = 183792. Its totient is φ = 26248.

The previous prime is 78737. The next prime is 78779. The reversal of 78756 is 65787.

It is a tau number, because it is divible by the number of its divisors (12).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 78756.

It is an unprimeable number.

78756 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3270 + ... + 3293.

It is an arithmetic number, because the mean of its divisors is an integer number (15316).

2⁷⁸⁷⁵⁶ is an apocalyptic number.

It is an amenable number.

78756 is an abundant number, since it is smaller than the sum of its proper divisors (105036).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91896).

78756 is a wasteful number, since it uses less digits than its factorization.

78756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6570 (or 6568 counting only the distinct ones).

The product of its digits is 11760, while the sum is 33.

The square root of 78756 is about 280.6349942541. The cubic root of 78756 is about 42.8641829704.

The spelling of 78756 in words is "seventy-eight thousand, seven hundred fifty-six".