83880 has 48 divisors (see below), whose sum is σ = 273780. Its totient is φ = 22272.

The previous prime is 83873. The next prime is 83891. The reversal of 83880 is 8838.

It can be written as a sum of positive squares in 2 ways, for example, as 79524 + 4356 = 282^2 + 66^2 .

It is an unprimeable number.

83880 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 11 ways as a sum of consecutive naturals, for example, 244 + ... + 476.

2⁸³⁸⁸⁰ 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 83880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136890).

83880 is an abundant number, since it is smaller than the sum of its proper divisors (189900).

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

83880 is a wasteful number, since it uses less digits than its factorization.

83880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 83880 is about 289.6204412675. The cubic root of 83880 is about 43.7743266071.

The spelling of 83880 in words is "eighty-three thousand, eight hundred eighty".