6877400 has 48 divisors (see below), whose sum is σ = 16170840. Its totient is φ = 2720000.

The previous prime is 6877399. The next prime is 6877421. The reversal of 6877400 is 47786.

It is a congruent number.

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, 27275 + ... + 27525.

Almost surely, 2^6877400 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 6877400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8085420).

6877400 is an abundant number, since it is smaller than the sum of its proper divisors (9293440).

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

6877400 is a wasteful number, since it uses less digits than its factorization.

6877400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 6877400 is about 2622.4797425338. The cubic root of 6877400 is about 190.1697467327.

The spelling of 6877400 in words is "six million, eight hundred seventy-seven thousand, four hundred".