7882800 has 60 divisors (see below), whose sum is σ = 25255080. Its totient is φ = 2101760.

The previous prime is 7882789. The next prime is 7882801. The reversal of 7882800 is 82887.

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (7882801) 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, 2085 + ... + 4484.

It is an arithmetic number, because the mean of its divisors is an integer number (420918).

Almost surely, 2^7882800 is an apocalyptic number.

It is an amenable number.

7882800 is an abundant number, since it is smaller than the sum of its proper divisors (17372280).

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

7882800 is a wasteful number, since it uses less digits than its factorization.

7882800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6590 (or 6579 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 7882800 is about 2807.6324545781. The cubic root of 7882800 is about 199.0185247437.

The spelling of 7882800 in words is "seven million, eight hundred eighty-two thousand, eight hundred".