6788864 has 36 divisors (see below), whose sum is σ = 14152656. Its totient is φ = 3244032.

The previous prime is 6788863. The next prime is 6788869. The reversal of 6788864 is 4688876.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6788861) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5312 + ... + 6464.

Almost surely, 2^6788864 is an apocalyptic number.

6788864 is a gapful number since it is divisible by the number (64) 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 6788864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7076328).

6788864 is an abundant number, since it is smaller than the sum of its proper divisors (7363792).

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

6788864 is a wasteful number, since it uses less digits than its factorization.

6788864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1178 counting only the distinct ones).

The product of its digits is 516096, while the sum is 47.

The square root of 6788864 is about 2605.5448566471. The cubic root of 6788864 is about 189.3501715281.

The spelling of 6788864 in words is "six million, seven hundred eighty-eight thousand, eight hundred sixty-four".