6768800 has 36 divisors (see below), whose sum is σ = 16526286. Its totient is φ = 2707200.

The previous prime is 6768793. The next prime is 6768821. The reversal of 6768800 is 88676.

It can be written as a sum of positive squares in 3 ways, for example, as 5973136 + 795664 = 2444^2 + 892^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3431 + ... + 5030.

Almost surely, 2^6768800 is an apocalyptic number.

It is an amenable number.

6768800 is an abundant number, since it is smaller than the sum of its proper divisors (9757486).

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

6768800 is a wasteful number, since it uses less digits than its factorization.

6768800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8481 (or 8468 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 6768800 is about 2601.6917572995. The cubic root of 6768800 is about 189.1634505158.

The spelling of 6768800 in words is "six million, seven hundred sixty-eight thousand, eight hundred".