875725200 has 720 divisors, whose sum is σ = 3837849600. Its totient is φ = 180403200.

The previous prime is 875725183. The next prime is 875725223. The reversal of 875725200 is 2527578.

875725200 is a `hidden beast` number, since 87 + 57 + 2 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14842771 + ... + 14842829.

Almost surely, 2^875725200 is an apocalyptic number.

875725200 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 875725200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918924800).

875725200 is an abundant number, since it is smaller than the sum of its proper divisors (2962124400).

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

875725200 is a wasteful number, since it uses less digits than its factorization.

875725200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 875725200 is about 29592.6544939787. The cubic root of 875725200 is about 956.7297579799.

The spelling of 875725200 in words is "eight hundred seventy-five million, seven hundred twenty-five thousand, two hundred".