6677766 has 24 divisors (see below), whose sum is σ = 14523600. Its totient is φ = 2217456.

The previous prime is 6677761. The next prime is 6677767.

It is a happy number.

6677766 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×6677766³ (a number of 21 digits) contains 333 as substring.

It is a zygodrome in base 10.

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5751 + ... + 6813.

It is an arithmetic number, because the mean of its divisors is an integer number (605150).

Almost surely, 2^6677766 is an apocalyptic number.

6677766 is an abundant number, since it is smaller than the sum of its proper divisors (7845834).

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

6677766 is a wasteful number, since it uses less digits than its factorization.

6677766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1417 counting only the distinct ones).

The product of its digits is 444528, while the sum is 45.

The square root of 6677766 is about 2584.1373802490. The cubic root of 6677766 is about 188.3115965898.

The spelling of 6677766 in words is "six million, six hundred seventy-seven thousand, seven hundred sixty-six".