6746800 has 60 divisors (see below), whose sum is σ = 16467696. Its totient is φ = 2656000.

The previous prime is 6746777. The next prime is 6746813. The reversal of 6746800 is 86476.

6746800 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40317 + ... + 40483.

Almost surely, 2^6746800 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 6746800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8233848).

6746800 is an abundant number, since it is smaller than the sum of its proper divisors (9720896).

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

6746800 is a wasteful number, since it uses less digits than its factorization.

6746800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 6746800 is about 2597.4602980604. The cubic root of 6746800 is about 188.9582879684.

The spelling of 6746800 in words is "six million, seven hundred forty-six thousand, eight hundred".