6882400 has 72 divisors (see below), whose sum is σ = 19217520. Its totient is φ = 2357760.

The previous prime is 6882397. The next prime is 6882419. The reversal of 6882400 is 42886.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4986 + ... + 6214.

It is an arithmetic number, because the mean of its divisors is an integer number (266910).

Almost surely, 2^6882400 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 6882400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9608760).

6882400 is an abundant number, since it is smaller than the sum of its proper divisors (12335120).

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

6882400 is a wasteful number, since it uses less digits than its factorization.

6882400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 6882400 is about 2623.4328655409. The cubic root of 6882400 is about 190.2158212376.

The spelling of 6882400 in words is "six million, eight hundred eighty-two thousand, four hundred".