7950800 has 120 divisors (see below), whose sum is σ = 22602720. Its totient is φ = 2649600.

The previous prime is 7950791. The next prime is 7950827. The reversal of 7950800 is 80597.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57131 + ... + 57269.

It is an arithmetic number, because the mean of its divisors is an integer number (188356).

Almost surely, 2^7950800 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 7950800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11301360).

7950800 is an abundant number, since it is smaller than the sum of its proper divisors (14651920).

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

7950800 is a wasteful number, since it uses less digits than its factorization.

7950800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 7950800 is about 2819.7162977860. The cubic root of 7950800 is about 199.5891566165.

The spelling of 7950800 in words is "seven million, nine hundred fifty thousand, eight hundred".