6886800 has 90 divisors (see below), whose sum is σ = 23911602. Its totient is φ = 1835520.

The previous prime is 6886799. The next prime is 6886807. The reversal of 6886800 is 86886.

It can be written as a sum of positive squares in 3 ways, for example, as 1354896 + 5531904 = 1164^2 + 2352^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6886807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2644 + ... + 4556.

Almost surely, 2^6886800 is an apocalyptic number.

6886800 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 6886800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11955801).

6886800 is an abundant number, since it is smaller than the sum of its proper divisors (17024802).

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

6886800 is a wasteful number, since it uses less digits than its factorization.

6886800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1937 (or 1923 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 6886800 is about 2624.2713274355. The cubic root of 6886800 is about 190.2563483463.

It can be divided in two parts, 68 and 86800, that added together give a palindrome (86868).

The spelling of 6886800 in words is "six million, eight hundred eighty-six thousand, eight hundred".