6801800 has 48 divisors (see below), whose sum is σ = 16070400. Its totient is φ = 2676800.

The previous prime is 6801797. The next prime is 6801833. The reversal of 6801800 is 81086.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 13961 + ... + 14439.

It is an arithmetic number, because the mean of its divisors is an integer number (334800).

Almost surely, 2^6801800 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 6801800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8035200).

6801800 is an abundant number, since it is smaller than the sum of its proper divisors (9268600).

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

6801800 is a wasteful number, since it uses less digits than its factorization.

6801800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 6801800 is about 2608.0260734893. The cubic root of 6801800 is about 189.4703624607.

Adding to 6801800 its reverse (81086), we get a palindrome (6882886).

The spelling of 6801800 in words is "six million, eight hundred one thousand, eight hundred".