82760 has 16 divisors (see below), whose sum is σ = 186300. Its totient is φ = 33088.

The previous prime is 82759. The next prime is 82763. The reversal of 82760 is 6728.

It can be written as a sum of positive squares in 2 ways, for example, as 77284 + 5476 = 278^2 + 74^2 .

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (82763) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 995 + ... + 1074.

2⁸²⁷⁶⁰ is an apocalyptic number.

It is an amenable number.

82760 is an abundant number, since it is smaller than the sum of its proper divisors (103540).

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 (93150).

82760 is a wasteful number, since it uses less digits than its factorization.

82760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2080 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 82760 is about 287.6803781977. The cubic root of 82760 is about 43.5786220703.

The spelling of 82760 in words is "eighty-two thousand, seven hundred sixty".