6808000 has 112 divisors (see below), whose sum is σ = 18068544. Its totient is φ = 2534400.

The previous prime is 6807979. The next prime is 6808001. The reversal of 6808000 is 8086.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6808001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183982 + ... + 184018.

Almost surely, 2^6808000 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 6808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9034272).

6808000 is an abundant number, since it is smaller than the sum of its proper divisors (11260544).

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

6808000 is a wasteful number, since it uses less digits than its factorization.

6808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 6808000 is about 2609.2144411681. The cubic root of 6808000 is about 189.5279138687.

The spelling of 6808000 in words is "six million, eight hundred eight thousand".