7875200 has 96 divisors (see below), whose sum is σ = 20489760. Its totient is φ = 2984960.

The previous prime is 7875193. The next prime is 7875227. The reversal of 7875200 is 25787.

7875200 = T₈₁₆ + T₈₁₇ + ... + T₈₃₈.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73547 + ... + 73653.

It is an arithmetic number, because the mean of its divisors is an integer number (213435).

Almost surely, 2^7875200 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 7875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10244880).

7875200 is an abundant number, since it is smaller than the sum of its proper divisors (12614560).

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

7875200 is a wasteful number, since it uses less digits than its factorization.

7875200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 29.

The square root of 7875200 is about 2806.2786746865. The cubic root of 7875200 is about 198.9545446376.

The spelling of 7875200 in words is "seven million, eight hundred seventy-five thousand, two hundred".