6682800 has 60 divisors (see below), whose sum is σ = 21411080. Its totient is φ = 1781760.

The previous prime is 6682787. The next prime is 6682801. The reversal of 6682800 is 82866.

6682800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (6682801) 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, 1585 + ... + 3984.

Almost surely, 2^6682800 is an apocalyptic number.

6682800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6682800 is an abundant number, since it is smaller than the sum of its proper divisors (14728280).

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

6682800 is a wasteful number, since it uses less digits than its factorization.

6682800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5590 (or 5579 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 6682800 is about 2585.1112161762. Note that the first 3 decimals coincide. The cubic root of 6682800 is about 188.3589039514.

The spelling of 6682800 in words is "six million, six hundred eighty-two thousand, eight hundred".