80757 has 10 divisors (see below), whose sum is σ = 120758. Its totient is φ = 53784.

The previous prime is 80749. The next prime is 80761. The reversal of 80757 is 75708.

It can be written as a sum of positive squares in only one way, i.e., 77841 + 2916 = 279^2 + 54^2 .

It is not a de Polignac number, because 80757 - 2³ = 80749 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 80757.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 418 + ... + 579.

2⁸⁰⁷⁵⁷ is an apocalyptic number.

It is an amenable number.

80757 is a deficient number, since it is larger than the sum of its proper divisors (40001).

80757 is an equidigital number, since it uses as much as digits as its factorization.

80757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 80757 is about 284.1777612692. The cubic root of 80757 is about 43.2241762824.

The spelling of 80757 in words is "eighty thousand, seven hundred fifty-seven".