8222872320 has 216 divisors, whose sum is σ = 30639322896. Its totient is φ = 2024054784.

The previous prime is 8222872319. The next prime is 8222872337. The reversal of 8222872320 is 232782228.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122307 + ... + 177213.

Almost surely, 2^8222872320 is an apocalyptic number.

8222872320 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 8222872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15319661448).

8222872320 is an abundant number, since it is smaller than the sum of its proper divisors (22416450576).

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

8222872320 is a wasteful number, since it uses less digits than its factorization.

8222872320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54947 (or 54930 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 8222872320 is about 90680.0546978221. The cubic root of 8222872320 is about 2018.4028416766.

The spelling of 8222872320 in words is "eight billion, two hundred twenty-two million, eight hundred seventy-two thousand, three hundred twenty".