8022088200 has 192 divisors, whose sum is σ = 28501032960. Its totient is φ = 1828465920.

The previous prime is 8022088181. The next prime is 8022088241. The reversal of 8022088200 is 28802208.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1606107 + ... + 1611093.

It is an arithmetic number, because the mean of its divisors is an integer number (148442880).

Almost surely, 2^8022088200 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 8022088200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14250516480).

8022088200 is an abundant number, since it is smaller than the sum of its proper divisors (20478944760).

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

8022088200 is a wasteful number, since it uses less digits than its factorization.

8022088200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5396 (or 5387 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 8022088200 is about 89566.1107785752. The cubic root of 8022088200 is about 2001.8389918695.

The spelling of 8022088200 in words is "eight billion, twenty-two million, eighty-eight thousand, two hundred".