6760080 has 120 divisors (see below), whose sum is σ = 23357880. Its totient is φ = 1751040.

The previous prime is 6760079. The next prime is 6760093. The reversal of 6760080 is 800676.

It can be written as a sum of positive squares in 4 ways, for example, as 589824 + 6170256 = 768^2 + 2484^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29406 + ... + 29634.

It is an arithmetic number, because the mean of its divisors is an integer number (194649).

Almost surely, 2^6760080 is an apocalyptic number.

6760080 is a gapful number since it is divisible by the number (60) 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 6760080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11678940).

6760080 is an abundant number, since it is smaller than the sum of its proper divisors (16597800).

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

6760080 is a wasteful number, since it uses less digits than its factorization.

6760080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 6760080 is about 2600.0153845699. The cubic root of 6760080 is about 189.0821848001.

The spelling of 6760080 in words is "six million, seven hundred sixty thousand, eighty".