6807680 has 64 divisors (see below), whose sum is σ = 17772480. Its totient is φ = 2472960.

The previous prime is 6807659. The next prime is 6807683. The reversal of 6807680 is 867086.

It is a tau number, because it is divible by the number of its divisors (64).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 6807680.

It is not an unprimeable number, because it can be changed into a prime (6807683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6557 + ... + 7523.

It is an arithmetic number, because the mean of its divisors is an integer number (277695).

Almost surely, 2^6807680 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 6807680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8886240).

6807680 is an abundant number, since it is smaller than the sum of its proper divisors (10964800).

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

6807680 is a wasteful number, since it uses less digits than its factorization.

6807680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 985 counting only the distinct ones).

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

The square root of 6807680 is about 2609.1531193090. The cubic root of 6807680 is about 189.5249443288.

The spelling of 6807680 in words is "six million, eight hundred seven thousand, six hundred eighty".