6806800 has 240 divisors, whose sum is σ = 23248512. Its totient is φ = 1843200.

The previous prime is 6806797. The next prime is 6806801. The reversal of 6806800 is 86086.

6806800 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

6806800 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6806801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 400392 + ... + 400408.

Almost surely, 2^6806800 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 6806800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11624256).

6806800 is an abundant number, since it is smaller than the sum of its proper divisors (16441712).

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

6806800 is a wasteful number, since it uses less digits than its factorization.

6806800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 6806800 is about 2608.9844767649. The cubic root of 6806800 is about 189.5167776143.

The spelling of 6806800 in words is "six million, eight hundred six thousand, eight hundred".