82080 has 96 divisors (see below), whose sum is σ = 302400. Its totient is φ = 20736.

The previous prime is 82073. The next prime is 82129. The reversal of 82080 is 8028.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 4.

It is an unprimeable number.

82080 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 15 ways as a sum of consecutive naturals, for example, 4311 + ... + 4329.

It is an arithmetic number, because the mean of its divisors is an integer number (3150).

2⁸²⁰⁸⁰ is an apocalyptic number.

82080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151200).

82080 is an abundant number, since it is smaller than the sum of its proper divisors (220320).

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

82080 is a wasteful number, since it uses less digits than its factorization.

82080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 82080 is about 286.4960732715. The cubic root of 82080 is about 43.4589386607.

82080 divided by its sum of digits (18) gives a triangular number (4560 = T₉₅).

It can be divided in two parts, 820 and 80, that added together give a square (900 = 30²).

The spelling of 82080 in words is "eighty-two thousand, eighty".