677767 has 2 divisors, whose sum is σ = 677768. Its totient is φ = 677766.

The previous prime is 677737. The next prime is 677779. The reversal of 677767 is 767776.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 677767 - 2⁷ = 677639 is a prime.

It is a plaindrome in base 14.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (677717) 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 as a sum of consecutive naturals, namely, 338883 + 338884.

It is an arithmetic number, because the mean of its divisors is an integer number (338884).

2⁶⁷⁷⁷⁶⁷ is an apocalyptic number.

677767 is a deficient number, since it is larger than the sum of its proper divisors (1).

677767 is an equidigital number, since it uses as much as digits as its factorization.

677767 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 86436, while the sum is 40.

The square root of 677767 is about 823.2660566305. The cubic root of 677767 is about 87.8402318030.

Subtracting 677767 from its reverse (767776), we obtain a palindrome (90009).

It can be divided in two parts, 677 and 767, that added together give a square (1444 = 38²).

The spelling of 677767 in words is "six hundred seventy-seven thousand, seven hundred sixty-seven".