8107973120 has 320 divisors, whose sum is σ = 22438563840. Its totient is φ = 2786918400.

The previous prime is 8107973119. The next prime is 8107973141. The reversal of 8107973120 is 213797018.

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

It is a super-2 number, since 2×8107973120² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29918585 + ... + 29918855.

It is an arithmetic number, because the mean of its divisors is an integer number (70120512).

Almost surely, 2^8107973120 is an apocalyptic number.

8107973120 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 8107973120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11219281920).

8107973120 is an abundant number, since it is smaller than the sum of its proper divisors (14330590720).

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

8107973120 is a wasteful number, since it uses less digits than its factorization.

8107973120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 38.

The square root of 8107973120 is about 90044.2842161567. The cubic root of 8107973120 is about 2008.9575809765.

The spelling of 8107973120 in words is "eight billion, one hundred seven million, nine hundred seventy-three thousand, one hundred twenty".