8712113760 has 864 divisors, whose sum is σ = 38115735840. Its totient is φ = 1867235328.

The previous prime is 8712113749. The next prime is 8712113779. The reversal of 8712113760 is 673112178.

8712113760 is a `hidden beast` number, since 8 + 71 + 211 + 376 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 143 ways as a sum of consecutive naturals, for example, 32386906 + ... + 32387174.

It is an arithmetic number, because the mean of its divisors is an integer number (44115435).

Almost surely, 2^8712113760 is an apocalyptic number.

8712113760 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 8712113760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19057867920).

8712113760 is an abundant number, since it is smaller than the sum of its proper divisors (29403622080).

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

8712113760 is a wasteful number, since it uses less digits than its factorization.

8712113760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 8712113760 is about 93338.7045121154. The cubic root of 8712113760 is about 2057.6642517670.

The spelling of 8712113760 in words is "eight billion, seven hundred twelve million, one hundred thirteen thousand, seven hundred sixty".