6806804800 has 42 divisors (see below), whose sum is σ = 16748997998. Its totient is φ = 2722721280.

The previous prime is 6806804791. The next prime is 6806804827. The reversal of 6806804800 is 84086086.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 31539456 + 6775265344 = 5616^2 + 82312^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2125527 + ... + 2128726.

Almost surely, 2^6806804800 is an apocalyptic number.

It is an amenable number.

6806804800 is an abundant number, since it is smaller than the sum of its proper divisors (9942193198).

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

6806804800 is a wasteful number, since it uses less digits than its factorization.

6806804800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4254275 (or 4254260 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 6806804800 is about 82503.3623557246. The cubic root of 6806804800 is about 1895.1682216190.

The spelling of 6806804800 in words is "six billion, eight hundred six million, eight hundred four thousand, eight hundred".