6800800 has 36 divisors (see below), whose sum is σ = 16604406. Its totient is φ = 2720000.

The previous prime is 6800791. The next prime is 6800809. The reversal of 6800800 is 80086.

It is an interprime number because it is at equal distance from previous prime (6800791) and next prime (6800809).

It can be written as a sum of positive squares in 3 ways, for example, as 3429904 + 3370896 = 1852^2 + 1836^2 .

It is not an unprimeable number, because it can be changed into a prime (6800809) 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 5 ways as a sum of consecutive naturals, for example, 3451 + ... + 5050.

Almost surely, 2^6800800 is an apocalyptic number.

It is an amenable number.

6800800 is an abundant number, since it is smaller than the sum of its proper divisors (9803606).

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

6800800 is a wasteful number, since it uses less digits than its factorization.

6800800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8521 (or 8508 counting only the distinct ones).

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

The square root of 6800800 is about 2607.8343505675. The cubic root of 6800800 is about 189.4610767006.

Adding to 6800800 its reverse (80086), we get a palindrome (6880886).

The spelling of 6800800 in words is "six million, eight hundred thousand, eight hundred".