7677 has 6 divisors (see below), whose sum is σ = 11102. Its totient is φ = 5112.

The previous prime is 7673. The next prime is 7681. The reversal of 7677 is 7767.

It is an interprime number because it is at equal distance from previous prime (7673) and next prime (7681).

It can be written as a sum of positive squares in only one way, i.e., 4761 + 2916 = 69^2 + 54^2 .

It is not a de Polignac number, because 7677 - 2^{2} = 7673 is a prime.

It is a Duffinian number.

7677 is a lucky number.

It is a self number, because there is not a number *n* which added to its sum of digits gives 7677.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7673) 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 5 ways as a sum of consecutive naturals, for example, 418 + ... + 435.

It is an amenable number.

7677 is a deficient number, since it is larger than the sum of its proper divisors (3425).

7677 is a wasteful number, since it uses less digits than its factorization.

7677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 856 counting only the distinct ones).

The product of its digits is 2058, while the sum is 27.

The square root of 7677 is about 87.6184911991. The cubic root of 7677 is about 19.7271272892.

It can be divided in two parts, 76 and 77, that added together give a triangular number (153 = T_{17}).

The spelling of 7677 in words is "seven thousand, six hundred seventy-seven".

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