82808 has 16 divisors (see below), whose sum is σ = 169560. Its totient is φ = 37600.

The previous prime is 82799. The next prime is 82811. The reversal of 82808 is 80828.

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

82808 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 3 ways as a sum of consecutive naturals, for example, 383 + ... + 558.

2⁸²⁸⁰⁸ is an apocalyptic number.

82808 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82808 is an abundant number, since it is smaller than the sum of its proper divisors (86752).

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 (84780).

82808 is a wasteful number, since it uses less digits than its factorization.

82808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 954 counting only the distinct ones).

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

The square root of 82808 is about 287.7637920239. The cubic root of 82808 is about 43.5870455018.

The spelling of 82808 in words is "eighty-two thousand, eight hundred eight".