6808400 has 30 divisors (see below), whose sum is σ = 16358142. Its totient is φ = 2723200.

The previous prime is 6808397. The next prime is 6808409. The reversal of 6808400 is 48086.

It can be written as a sum of positive squares in 3 ways, for example, as 1915456 + 4892944 = 1384^2 + 2212^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6808400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6808409) 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, 8111 + ... + 8910.

Almost surely, 2^6808400 is an apocalyptic number.

It is an amenable number.

6808400 is an abundant number, since it is smaller than the sum of its proper divisors (9549742).

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

6808400 is a wasteful number, since it uses less digits than its factorization.

6808400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17039 (or 17028 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 6808400 is about 2609.2910914653. The cubic root of 6808400 is about 189.5316256627.

The spelling of 6808400 in words is "six million, eight hundred eight thousand, four hundred".