6789400 has 48 divisors (see below), whose sum is σ = 16014600. Its totient is φ = 2676480.

The previous prime is 6789397. The next prime is 6789401. The reversal of 6789400 is 49876.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6789401) 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, 16396 + ... + 16804.

Almost surely, 2^6789400 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 6789400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8007300).

6789400 is an abundant number, since it is smaller than the sum of its proper divisors (9225200).

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

6789400 is a wasteful number, since it uses less digits than its factorization.

6789400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 6789400 is about 2605.6477121821. The cubic root of 6789400 is about 189.3551546407.

The spelling of 6789400 in words is "six million, seven hundred eighty-nine thousand, four hundred".