6677760 has 144 divisors (see below), whose sum is σ = 22369536. Its totient is φ = 1695744.

The previous prime is 6677747. The next prime is 6677761. The reversal of 6677760 is 677766.

It is a super-3 number, since 3×6677760³ (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6677761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142057 + ... + 142103.

It is an arithmetic number, because the mean of its divisors is an integer number (155344).

Almost surely, 2^6677760 is an apocalyptic number.

6677760 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 6677760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11184768).

6677760 is an abundant number, since it is smaller than the sum of its proper divisors (15691776).

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

6677760 is a wasteful number, since it uses less digits than its factorization.

6677760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 39.

The square root of 6677760 is about 2584.1362193197. The cubic root of 6677760 is about 188.3115401902.

The spelling of 6677760 in words is "six million, six hundred seventy-seven thousand, seven hundred sixty".