6757680 has 80 divisors (see below), whose sum is σ = 21543264. Its totient is φ = 1751040.

The previous prime is 6757679. The next prime is 6757693. The reversal of 6757680 is 867576.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8500 + ... + 9260.

Almost surely, 2^6757680 is an apocalyptic number.

6757680 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 6757680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10771632).

6757680 is an abundant number, since it is smaller than the sum of its proper divisors (14785584).

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

6757680 is a wasteful number, since it uses less digits than its factorization.

6757680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 6757680 is about 2599.5538078678. The cubic root of 6757680 is about 189.0598058264.

The spelling of 6757680 in words is "six million, seven hundred fifty-seven thousand, six hundred eighty".