8022082860 has 240 divisors, whose sum is σ = 27867248640. Its totient is φ = 1915436160.

The previous prime is 8022082847. The next prime is 8022082879. The reversal of 8022082860 is 682802208.

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 (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1190581 + ... + 1197299.

It is an arithmetic number, because the mean of its divisors is an integer number (116113536).

Almost surely, 2^8022082860 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 8022082860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13933624320).

8022082860 is an abundant number, since it is smaller than the sum of its proper divisors (19845165780).

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

8022082860 is a wasteful number, since it uses less digits than its factorization.

8022082860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6818 (or 6807 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 8022082860 is about 89566.0809681880. The cubic root of 8022082860 is about 2001.8385476866.

The spelling of 8022082860 in words is "eight billion, twenty-two million, eighty-two thousand, eight hundred sixty".