8021998080 has 320 divisors, whose sum is σ = 30175390080. Its totient is φ = 2013069312.

The previous prime is 8021998079. The next prime is 8021998087. The reversal of 8021998080 is 808991208.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×8021998080³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8021998087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1171627 + ... + 1178453.

It is an arithmetic number, because the mean of its divisors is an integer number (94298094).

Almost surely, 2^8021998080 is an apocalyptic number.

8021998080 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 8021998080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15087695040).

8021998080 is an abundant number, since it is smaller than the sum of its proper divisors (22153392000).

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

8021998080 is a wasteful number, since it uses less digits than its factorization.

8021998080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6876 (or 6854 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 8021998080 is about 89565.6076850931. The cubic root of 8021998080 is about 2001.8314956332.

The spelling of 8021998080 in words is "eight billion, twenty-one million, nine hundred ninety-eight thousand, eighty".