8987206800 has 480 divisors, whose sum is σ = 34283805696. Its totient is φ = 1983744000.

The previous prime is 8987206771. The next prime is 8987206817. The reversal of 8987206800 is 86027898.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8987206800.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14242485 + ... + 14243115.

Almost surely, 2^8987206800 is an apocalyptic number.

8987206800 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 8987206800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17141902848).

8987206800 is an abundant number, since it is smaller than the sum of its proper divisors (25296598896).

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

8987206800 is a wasteful number, since it uses less digits than its factorization.

8987206800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 8987206800 is about 94800.8797427534. The cubic root of 8987206800 is about 2079.0977657489.

The spelling of 8987206800 in words is "eight billion, nine hundred eighty-seven million, two hundred six thousand, eight hundred".