82680 has 64 divisors (see below), whose sum is σ = 272160. Its totient is φ = 19968.

The previous prime is 82657. The next prime is 82699. The reversal of 82680 is 8628.

82680 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 82680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1534 + ... + 1586.

2⁸²⁶⁸⁰ 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 82680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136080).

82680 is an abundant number, since it is smaller than the sum of its proper divisors (189480).

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

82680 is a wasteful number, since it uses less digits than its factorization.

82680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 82680 is about 287.5413013812. The cubic root of 82680 is about 43.5645757769.

The spelling of 82680 in words is "eighty-two thousand, six hundred eighty".