6756768 has 72 divisors (see below), whose sum is σ = 19901700. Its totient is φ = 2171904.

The previous prime is 6756721. The next prime is 6756817. The reversal of 6756768 is 8676576.

It can be written as a sum of positive squares in 2 ways, for example, as 6411024 + 345744 = 2532^2 + 588^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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, 7948 + ... + 8756.

Almost surely, 2^6756768 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 6756768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9950850).

6756768 is an abundant number, since it is smaller than the sum of its proper divisors (13144932).

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

6756768 is a wasteful number, since it uses less digits than its factorization.

6756768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 843 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 6756768 is about 2599.3783872303. The cubic root of 6756768 is about 189.0513004271.

It can be divided in two parts, 675676 and 8, that added together give a square (675684 = 822²).

The spelling of 6756768 in words is "six million, seven hundred fifty-six thousand, seven hundred sixty-eight".