8705399976 has 288 divisors, whose sum is σ = 29675449440. Its totient is φ = 2285127936.

The previous prime is 8705399959. The next prime is 8705399977. The reversal of 8705399976 is 6799935078.

8705399976 is a `hidden beast` number, since 8 + 7 + 0 + 539 + 9 + 97 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (8705399977) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15914535 + ... + 15915081.

It is an arithmetic number, because the mean of its divisors is an integer number (103039755).

Almost surely, 2^8705399976 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 8705399976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14837724720).

8705399976 is an abundant number, since it is smaller than the sum of its proper divisors (20970049464).

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

8705399976 is a wasteful number, since it uses less digits than its factorization.

8705399976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 63.

The square root of 8705399976 is about 93302.7329503268. The cubic root of 8705399976 is about 2057.1355525369.

The spelling of 8705399976 in words is "eight billion, seven hundred five million, three hundred ninety-nine thousand, nine hundred seventy-six".