7955200 has 108 divisors (see below), whose sum is σ = 21670488. Its totient is φ = 2867200.

The previous prime is 7955191. The next prime is 7955203. The reversal of 7955200 is 25597.

It is not an unprimeable number, because it can be changed into a prime (7955203) 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, 70344 + ... + 70456.

Almost surely, 2^7955200 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 7955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10835244).

7955200 is an abundant number, since it is smaller than the sum of its proper divisors (13715288).

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

7955200 is a wasteful number, since it uses less digits than its factorization.

7955200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 28.

The square root of 7955200 is about 2820.4964102087. The cubic root of 7955200 is about 199.6259676016.

It can be divided in two parts, 795 and 5200, that added together give a palindrome (5995).

The spelling of 7955200 in words is "seven million, nine hundred fifty-five thousand, two hundred".