82718280 has 128 divisors (see below), whose sum is σ = 277862400. Its totient is φ = 21888000.

The previous prime is 82718263. The next prime is 82718299. The reversal of 82718280 is 8281728.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206080 + ... + 206480.

It is an arithmetic number, because the mean of its divisors is an integer number (2170800).

Almost surely, 2^82718280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82718280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138931200).

82718280 is an abundant number, since it is smaller than the sum of its proper divisors (195144120).

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

82718280 is a wasteful number, since it uses less digits than its factorization.

82718280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 82718280 is about 9094.9590433382. The cubic root of 82718280 is about 435.7129805825.

The spelling of 82718280 in words is "eighty-two million, seven hundred eighteen thousand, two hundred eighty".