6808320 has 144 divisors (see below), whose sum is σ = 24282720. Its totient is φ = 1806336.

The previous prime is 6808273. The next prime is 6808397. The reversal of 6808320 is 238086.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) 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 (27).

It is an Ulam number.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34462 + ... + 34658.

It is an arithmetic number, because the mean of its divisors is an integer number (168630).

Almost surely, 2^6808320 is an apocalyptic number.

6808320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6808320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12141360).

6808320 is an abundant number, since it is smaller than the sum of its proper divisors (17474400).

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

6808320 is a wasteful number, since it uses less digits than its factorization.

6808320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 6808320 is about 2609.2757615860. The cubic root of 6808320 is about 189.5308833156.

The spelling of 6808320 in words is "six million, eight hundred eight thousand, three hundred twenty".