82568080 has 80 divisors (see below), whose sum is σ = 220593024. Its totient is φ = 28154880.

The previous prime is 82568071. The next prime is 82568111. The reversal of 82568080 is 8086528.

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

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, 158220 + ... + 158740.

Almost surely, 2^82568080 is an apocalyptic number.

82568080 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 82568080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110296512).

82568080 is an abundant number, since it is smaller than the sum of its proper divisors (138024944).

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

82568080 is a wasteful number, since it uses less digits than its factorization.

82568080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The square root of 82568080 is about 9086.6979701099. The cubic root of 82568080 is about 435.4490979967.

The spelling of 82568080 in words is "eighty-two million, five hundred sixty-eight thousand, eighty".