8785687680 has 1280 divisors, whose sum is σ = 40947793920. Its totient is φ = 1741824000.

The previous prime is 8785687613. The next prime is 8785687709. The reversal of 8785687680 is 867865878.

8785687680 is a `hidden beast` number, since 8 + 7 + 8 + 568 + 7 + 68 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 123742045 + ... + 123742115.

It is an arithmetic number, because the mean of its divisors is an integer number (31990464).

Almost surely, 2^8785687680 is an apocalyptic number.

8785687680 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 8785687680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20473896960).

8785687680 is an abundant number, since it is smaller than the sum of its proper divisors (32162106240).

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

8785687680 is a wasteful number, since it uses less digits than its factorization.

8785687680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 63.

The square root of 8785687680 is about 93731.9992318525. Note that the first 3 decimals coincide. The cubic root of 8785687680 is about 2063.4403566521.

The spelling of 8785687680 in words is "eight billion, seven hundred eighty-five million, six hundred eighty-seven thousand, six hundred eighty".