8890912800 has 1296 divisors, whose sum is σ = 41678582400. Its totient is φ = 1761177600.

The previous prime is 8890912777. The next prime is 8890912819. The reversal of 8890912800 is 82190988.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 112543161 + ... + 112543239.

It is an arithmetic number, because the mean of its divisors is an integer number (32159400).

Almost surely, 2^8890912800 is an apocalyptic number.

8890912800 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 8890912800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20839291200).

8890912800 is an abundant number, since it is smaller than the sum of its proper divisors (32787669600).

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

8890912800 is a wasteful number, since it uses less digits than its factorization.

8890912800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 8890912800 is about 94291.6369568373. The cubic root of 8890912800 is about 2071.6455444315.

The spelling of 8890912800 in words is "eight billion, eight hundred ninety million, nine hundred twelve thousand, eight hundred".