6878600 has 48 divisors (see below), whose sum is σ = 16167120. Its totient is φ = 2721600.

The previous prime is 6878593. The next prime is 6878603. The reversal of 6878600 is 68786.

It is not an unprimeable number, because it can be changed into a prime (6878603) by changing a digit.

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, 32495 + ... + 32705.

It is an arithmetic number, because the mean of its divisors is an integer number (336815).

Almost surely, 2^6878600 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 6878600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8083560).

6878600 is an abundant number, since it is smaller than the sum of its proper divisors (9288520).

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

6878600 is a wasteful number, since it uses less digits than its factorization.

6878600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 381 counting only the distinct ones).

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

The square root of 6878600 is about 2622.7085236450. The cubic root of 6878600 is about 190.1808066500.

Multiplying 6878600 by its reverse (68786), we get a square (473151379600 = 687860²).

6878600 divided by its reverse (68786) gives a square (100 = 10²).

The spelling of 6878600 in words is "six million, eight hundred seventy-eight thousand, six hundred".