6880400 has 60 divisors (see below), whose sum is σ = 16790592. Its totient is φ = 2709120.

The previous prime is 6880369. The next prime is 6880411. The reversal of 6880400 is 40886.

It is a self number, because there is not a number n which added to its sum of digits gives 6880400.

It is an unprimeable number.

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, 41117 + ... + 41283.

Almost surely, 2^6880400 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 6880400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8395296).

6880400 is an abundant number, since it is smaller than the sum of its proper divisors (9910192).

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

6880400 is a wasteful number, since it uses less digits than its factorization.

6880400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 6880400 is about 2623.0516578977. The cubic root of 6880400 is about 190.1973941143.

The spelling of 6880400 in words is "six million, eight hundred eighty thousand, four hundred".