8874991200 has 576 divisors, whose sum is σ = 32127943680. Its totient is φ = 2119680000.

The previous prime is 8874991187. The next prime is 8874991207. The reversal of 8874991200 is 21994788.

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 8874991200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8874991207) 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, 87871150 + ... + 87871250.

It is an arithmetic number, because the mean of its divisors is an integer number (55777680).

Almost surely, 2^8874991200 is an apocalyptic number.

8874991200 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 8874991200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16063971840).

8874991200 is an abundant number, since it is smaller than the sum of its proper divisors (23252952480).

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

8874991200 is a wasteful number, since it uses less digits than its factorization.

8874991200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The square root of 8874991200 is about 94207.1717015217. The cubic root of 8874991200 is about 2070.4081904070.

The spelling of 8874991200 in words is "eight billion, eight hundred seventy-four million, nine hundred ninety-one thousand, two hundred".