80756 has 12 divisors (see below), whose sum is σ = 152292. Its totient is φ = 37248.

The previous prime is 80749. The next prime is 80761. The reversal of 80756 is 65708.

It can be written as a sum of positive squares in 2 ways, for example, as 10000 + 70756 = 100^2 + 266^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 80756.

It is an unprimeable number.

80756 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, 725 + ... + 828.

It is an arithmetic number, because the mean of its divisors is an integer number (12691).

2⁸⁰⁷⁵⁶ is an apocalyptic number.

It is an amenable number.

80756 is a deficient number, since it is larger than the sum of its proper divisors (71536).

80756 is a wasteful number, since it uses less digits than its factorization.

80756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570 (or 1568 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 80756 is about 284.1760018017. The cubic root of 80756 is about 43.2239978691.

The spelling of 80756 in words is "eighty thousand, seven hundred fifty-six".