8107165080 has 192 divisors, whose sum is σ = 30154026240. Its totient is φ = 1850501376.

The previous prime is 8107165009. The next prime is 8107165091. The reversal of 8107165080 is 805617018.

8107165080 is a `hidden beast` number, since 81 + 0 + 71 + 6 + 508 + 0 = 666.

It is a super-2 number, since 2×8107165080² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

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, 2283867 + ... + 2287413.

It is an arithmetic number, because the mean of its divisors is an integer number (157052220).

Almost surely, 2^8107165080 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 8107165080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15077013120).

8107165080 is an abundant number, since it is smaller than the sum of its proper divisors (22046861160).

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

8107165080 is a wasteful number, since it uses less digits than its factorization.

8107165080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4478 (or 4471 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 8107165080 is about 90039.7972010155. The cubic root of 8107165080 is about 2008.8908412381.

The spelling of 8107165080 in words is "eight billion, one hundred seven million, one hundred sixty-five thousand, eighty".