6804 has 36 divisors (see below), whose sum is σ = 20384. Its totient is φ = 1944.

The previous prime is 6803. The next prime is 6823. The reversal of 6804 is 4086.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6803) 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, 969 + ... + 975.

2⁶⁸⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10192).

6804 is an abundant number, since it is smaller than the sum of its proper divisors (13580).

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

6804 is a wasteful number, since it uses less digits than its factorization.

6804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 6804 is about 82.4863625092. The cubic root of 6804 is about 18.9490787930.

Subtracting from 6804 its sum of digits (18), we obtain a triangular number (6786 = T₁₁₆).

6804 divided by its sum of digits (18) gives a triangular number (378 = T₂₇).

Adding to 6804 its product of nonzero digits (192), we get a palindrome (6996).

The spelling of 6804 in words is "six thousand, eight hundred four".