7895200 has 72 divisors (see below), whose sum is σ = 19686240. Its totient is φ = 3091200.

The previous prime is 7895183. The next prime is 7895207. The reversal of 7895200 is 25987.

It is not an unprimeable number, because it can be changed into a prime (7895207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56731 + ... + 56869.

It is an arithmetic number, because the mean of its divisors is an integer number (273420).

Almost surely, 2^7895200 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 7895200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9843120).

7895200 is an abundant number, since it is smaller than the sum of its proper divisors (11791040).

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

7895200 is a wasteful number, since it uses less digits than its factorization.

7895200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 7895200 is about 2809.8398530877. The cubic root of 7895200 is about 199.1228251122.

The spelling of 7895200 in words is "seven million, eight hundred ninety-five thousand, two hundred".