8021872320 has 672 divisors, whose sum is σ = 33273918720. Its totient is φ = 1617960960.

The previous prime is 8021872319. The next prime is 8021872321. The reversal of 8021872320 is 232781208.

It is an interprime number because it is at equal distance from previous prime (8021872319) and next prime (8021872321).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (8021872321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19145071 + ... + 19145489.

It is an arithmetic number, because the mean of its divisors is an integer number (49514760).

Almost surely, 2^8021872320 is an apocalyptic number.

8021872320 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 8021872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16636959360).

8021872320 is an abundant number, since it is smaller than the sum of its proper divisors (25252046400).

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

8021872320 is a wasteful number, since it uses less digits than its factorization.

8021872320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 8021872320 is about 89564.9056271484. The cubic root of 8021872320 is about 2001.8210347463.

The spelling of 8021872320 in words is "eight billion, twenty-one million, eight hundred seventy-two thousand, three hundred twenty".