7866115920 has 480 divisors, whose sum is σ = 30223065600. Its totient is φ = 1818685440.

The previous prime is 7866115903. The next prime is 7866115921. The reversal of 7866115920 is 295116687.

7866115920 is a `hidden beast` number, since 7 + 8 + 6 + 611 + 5 + 9 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7866115921) 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, 13131781 + ... + 13132379.

It is an arithmetic number, because the mean of its divisors is an integer number (62964720).

Almost surely, 2^7866115920 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 7866115920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15111532800).

7866115920 is an abundant number, since it is smaller than the sum of its proper divisors (22356949680).

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

7866115920 is a wasteful number, since it uses less digits than its factorization.

7866115920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 7866115920 is about 88691.1265009076. The cubic root of 7866115920 is about 1988.7801687268.

The spelling of 7866115920 in words is "seven billion, eight hundred sixty-six million, one hundred fifteen thousand, nine hundred twenty".