82688880 has 80 divisors (see below), whose sum is σ = 258688800. Its totient is φ = 21848064.

The previous prime is 82688869. The next prime is 82688897. The reversal of 82688880 is 8888628.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 25596 + ... + 28644.

It is an arithmetic number, because the mean of its divisors is an integer number (3233610).

Almost surely, 2^82688880 is an apocalyptic number.

82688880 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 82688880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129344400).

82688880 is an abundant number, since it is smaller than the sum of its proper divisors (175999920).

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

82688880 is a wasteful number, since it uses less digits than its factorization.

82688880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3178 (or 3172 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 48.

The square root of 82688880 is about 9093.3426197411. The cubic root of 82688880 is about 435.6613536241.

The spelling of 82688880 in words is "eighty-two million, six hundred eighty-eight thousand, eight hundred eighty".