82880 has 56 divisors (see below), whose sum is σ = 231648. Its totient is φ = 27648.

The previous prime is 82847. The next prime is 82883. The reversal of 82880 is 8828.

It is a tau number, because it is divible by the number of its divisors (56).

It is an Ulam number.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2222 + ... + 2258.

2⁸²⁸⁸⁰ is an apocalyptic number.

82880 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 82880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115824).

82880 is an abundant number, since it is smaller than the sum of its proper divisors (148768).

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

82880 is a wasteful number, since it uses less digits than its factorization.

82880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 82880 is about 287.8888674471. Note that the first 4 decimals coincide. The cubic root of 82880 is about 43.5996745480.

The spelling of 82880 in words is "eighty-two thousand, eight hundred eighty".