6677880 has 64 divisors (see below), whose sum is σ = 21859200. Its totient is φ = 1618560.

The previous prime is 6677861. The next prime is 6677887. The reversal of 6677880 is 887766.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6677887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1210 + ... + 3849.

It is an arithmetic number, because the mean of its divisors is an integer number (341550).

Almost surely, 2^6677880 is an apocalyptic number.

6677880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6677880 is an abundant number, since it is smaller than the sum of its proper divisors (15181320).

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

6677880 is a wasteful number, since it uses less digits than its factorization.

6677880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5084 (or 5080 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 6677880 is about 2584.1594378056. The cubic root of 6677880 is about 188.3126681757.

It can be divided in two parts, 6677 and 880, that added together give a palindrome (7557).

The spelling of 6677880 in words is "six million, six hundred seventy-seven thousand, eight hundred eighty".