6978200 has 96 divisors (see below), whose sum is σ = 17811360. Its totient is φ = 2534400.

The previous prime is 6978199. The next prime is 6978221. The reversal of 6978200 is 28796.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170180 + ... + 170220.

It is an arithmetic number, because the mean of its divisors is an integer number (185535).

Almost surely, 2^6978200 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 6978200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8905680).

6978200 is an abundant number, since it is smaller than the sum of its proper divisors (10833160).

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

6978200 is a wasteful number, since it uses less digits than its factorization.

6978200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 6978200 is about 2641.6282857359. The cubic root of 6978200 is about 191.0943312992.

The spelling of 6978200 in words is "six million, nine hundred seventy-eight thousand, two hundred".