875228200 has 288 divisors, whose sum is σ = 2702237760. Its totient is φ = 260198400.

The previous prime is 875228191. The next prime is 875228203. The reversal of 875228200 is 2822578.

It is not an unprimeable number, because it can be changed into a prime (875228203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2479224 + ... + 2479576.

It is an arithmetic number, because the mean of its divisors is an integer number (9382770).

Almost surely, 2^875228200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 875228200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351118880).

875228200 is an abundant number, since it is smaller than the sum of its proper divisors (1827009560).

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

875228200 is a wasteful number, since it uses less digits than its factorization.

875228200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The square root of 875228200 is about 29584.2559480545. The cubic root of 875228200 is about 956.5487329009.

The spelling of 875228200 in words is "eight hundred seventy-five million, two hundred twenty-eight thousand, two hundred".