6844800 has 192 divisors, whose sum is σ = 24284160. Its totient is φ = 1689600.

The previous prime is 6844771. The next prime is 6844801. The reversal of 6844800 is 84486.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6844801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220785 + ... + 220815.

It is an arithmetic number, because the mean of its divisors is an integer number (126480).

Almost surely, 2^6844800 is an apocalyptic number.

6844800 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 6844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12142080).

6844800 is an abundant number, since it is smaller than the sum of its proper divisors (17439360).

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

6844800 is a wasteful number, since it uses less digits than its factorization.

6844800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 6844800 is about 2616.2568681229. The cubic root of 6844800 is about 189.8687921461.

The spelling of 6844800 in words is "six million, eight hundred forty-four thousand, eight hundred".