8875200 has 126 divisors (see below), whose sum is σ = 29810964. Its totient is φ = 2311680.

The previous prime is 8875183. The next prime is 8875211. The reversal of 8875200 is 25788.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 206379 + ... + 206421.

Almost surely, 2^8875200 is an apocalyptic number.

8875200 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 8875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14905482).

8875200 is an abundant number, since it is smaller than the sum of its proper divisors (20935764).

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

8875200 is a wasteful number, since it uses less digits than its factorization.

8875200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 8875200 is about 2979.1273890185. The cubic root of 8875200 is about 207.0424426962.

The spelling of 8875200 in words is "eight million, eight hundred seventy-five thousand, two hundred".