6789888 has 108 divisors (see below), whose sum is σ = 22426768. Its totient is φ = 1935360.

The previous prime is 6789793. The next prime is 6789901. The reversal of 6789888 is 8889876.

It is a super-2 number, since 2×6789888² = 92205158105088, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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, 15918 + ... + 16338.

Almost surely, 2^6789888 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 6789888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11213384).

6789888 is an abundant number, since it is smaller than the sum of its proper divisors (15636880).

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

6789888 is a wasteful number, since it uses less digits than its factorization.

6789888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 433 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 54.

The square root of 6789888 is about 2605.7413532429. The cubic root of 6789888 is about 189.3596912763.

The spelling of 6789888 in words is "six million, seven hundred eighty-nine thousand, eight hundred eighty-eight".