6876800 has 96 divisors (see below), whose sum is σ = 19477920. Its totient is φ = 2350080.

The previous prime is 6876791. The next prime is 6876809. The reversal of 6876800 is 86786.

It is an interprime number because it is at equal distance from previous prime (6876791) and next prime (6876809).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (6876809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22247 + ... + 22553.

It is an arithmetic number, because the mean of its divisors is an integer number (202895).

Almost surely, 2^6876800 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 6876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9738960).

6876800 is an abundant number, since it is smaller than the sum of its proper divisors (12601120).

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

6876800 is a wasteful number, since it uses less digits than its factorization.

6876800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 6876800 is about 2622.3653444934. The cubic root of 6876800 is about 190.1642162917.

The spelling of 6876800 in words is "six million, eight hundred seventy-six thousand, eight hundred".