7896800 has 36 divisors (see below), whose sum is σ = 19280016. Its totient is φ = 3158400.

The previous prime is 7896793. The next prime is 7896803. The reversal of 7896800 is 86987.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7896803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4136 + ... + 5735.

It is an arithmetic number, because the mean of its divisors is an integer number (535556).

Almost surely, 2^7896800 is an apocalyptic number.

It is an amenable number.

7896800 is an abundant number, since it is smaller than the sum of its proper divisors (11383216).

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

7896800 is a wasteful number, since it uses less digits than its factorization.

7896800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9891 (or 9878 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 7896800 is about 2810.1245523998. The cubic root of 7896800 is about 199.1362752676.

The spelling of 7896800 in words is "seven million, eight hundred ninety-six thousand, eight hundred".