6760000 has 105 divisors (see below), whose sum is σ = 18151221. Its totient is φ = 2496000.

The previous prime is 6759989. The next prime is 6760001. The reversal of 6760000 is 676.

The square root of 6760000 is 2600.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 6677056 + 82944 = 2584^2 + 288^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6760000.

It is not an unprimeable number, because it can be changed into a prime (6760001) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 519994 + ... + 520006.

Almost surely, 2^6760000 is an apocalyptic number.

6760000 is the 2600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6760000

6760000 is an abundant number, since it is smaller than the sum of its proper divisors (11391221).

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

6760000 is an equidigital number, since it uses as much as digits as its factorization.

6760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The cubic root of 6760000 is about 189.0814389197.

Adding to 6760000 its reverse (676), we get a palindrome (6760676).

Multiplying 6760000 by its reverse (676), we get a 4-th power (4569760000 = 260⁴).

6760000 divided by its reverse (676) gives a 4-th power (10000 = 10⁴).

The spelling of 6760000 in words is "six million, seven hundred sixty thousand".