7680800 has 36 divisors (see below), whose sum is σ = 18752706. Its totient is φ = 3072000.

The previous prime is 7680791. The next prime is 7680809. The reversal of 7680800 is 80867.

7680800 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (7680791) and next prime (7680809).

It can be written as a sum of positive squares in 3 ways, for example, as 6574096 + 1106704 = 2564^2 + 1052^2 .

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (7680809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4001 + ... + 5600.

Almost surely, 2^7680800 is an apocalyptic number.

It is an amenable number.

7680800 is an abundant number, since it is smaller than the sum of its proper divisors (11071906).

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

7680800 is a wasteful number, since it uses less digits than its factorization.

7680800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9621 (or 9608 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 7680800 is about 2771.4256259189. The cubic root of 7680800 is about 197.3038162977.

The spelling of 7680800 in words is "seven million, six hundred eighty thousand, eight hundred".