6789000 has 128 divisors (see below), whose sum is σ = 22164480. Its totient is φ = 1728000.

The previous prime is 6788989. The next prime is 6789017. The reversal of 6789000 is 9876.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92964 + ... + 93036.

It is an arithmetic number, because the mean of its divisors is an integer number (173160).

Almost surely, 2^6789000 is an apocalyptic number.

6789000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6789000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11082240).

6789000 is an abundant number, since it is smaller than the sum of its proper divisors (15375480).

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

6789000 is a wasteful number, since it uses less digits than its factorization.

6789000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 6789000 is about 2605.5709547046. The cubic root of 6789000 is about 189.3514359248.

The spelling of 6789000 in words is "six million, seven hundred eighty-nine thousand".