82868080 has 80 divisors (see below), whose sum is σ = 208111680. Its totient is φ = 30593024.

The previous prime is 82868041. The next prime is 82868087. The reversal of 82868080 is 8086828.

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 (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82868087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52584 + ... + 54136.

It is an arithmetic number, because the mean of its divisors is an integer number (2601396).

Almost surely, 2^82868080 is an apocalyptic number.

82868080 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 82868080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104055840).

82868080 is an abundant number, since it is smaller than the sum of its proper divisors (125243600).

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

82868080 is a wasteful number, since it uses less digits than its factorization.

82868080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1618 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 40.

The square root of 82868080 is about 9103.1906494372. The cubic root of 82868080 is about 435.9758424457.

82868080 divided by its sum of digits (40) gives a palindrome (2071702).

The spelling of 82868080 in words is "eighty-two million, eight hundred sixty-eight thousand, eighty".