6788000 has 48 divisors (see below), whose sum is σ = 16687944. Its totient is φ = 2713600.

The previous prime is 6787961. The next prime is 6788021. The reversal of 6788000 is 8876.

It can be written as a sum of positive squares in 4 ways, for example, as 3952144 + 2835856 = 1988^2 + 1684^2 .

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 7 ways as a sum of consecutive naturals, for example, 3152 + ... + 4848.

Almost surely, 2^6788000 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 6788000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8343972).

6788000 is an abundant number, since it is smaller than the sum of its proper divisors (9899944).

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

6788000 is a wasteful number, since it uses less digits than its factorization.

6788000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 6788000 is about 2605.3790511171. The cubic root of 6788000 is about 189.3421384959.

The spelling of 6788000 in words is "six million, seven hundred eighty-eight thousand".