8874835200 has 1728 divisors, whose sum is σ = 43797196800. Its totient is φ = 1703116800.

The previous prime is 8874835199. The next prime is 8874835243. The reversal of 8874835200 is 25384788.

8874835200 is a `hidden beast` number, since 8 + 87 + 48 + 3 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 306028786 + ... + 306028814.

It is an arithmetic number, because the mean of its divisors is an integer number (25345600).

Almost surely, 2^8874835200 is an apocalyptic number.

8874835200 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 8874835200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21898598400).

8874835200 is an abundant number, since it is smaller than the sum of its proper divisors (34922361600).

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

8874835200 is a wasteful number, since it uses less digits than its factorization.

8874835200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 8874835200 is about 94206.3437354407. The cubic root of 8874835200 is about 2070.3960594816.

The spelling of 8874835200 in words is "eight billion, eight hundred seventy-four million, eight hundred thirty-five thousand, two hundred".