676767 has 32 divisors (see below), whose sum is σ = 1157632. Its totient is φ = 342144.

The previous prime is 676763. The next prime is 676771. The reversal of 676767 is 767676.

676767 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (676763) and next prime (676771).

It is not a de Polignac number, because 676767 - 2² = 676763 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a D-number.

It is an alternating number because its digits alternate between even and odd.

676767 is an undulating number in base 10.

676767 is a modest number, since divided by 6767 gives 67 as remainder.

676767 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 676767.

It is not an unprimeable number, because it can be changed into a prime (676763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10068 + ... + 10134.

It is an arithmetic number, because the mean of its divisors is an integer number (36176).

2⁶⁷⁶⁷⁶⁷ is an apocalyptic number.

676767 is a gapful number since it is divisible by the number (67) formed by its first and last digit.

676767 is a deficient number, since it is larger than the sum of its proper divisors (480865).

676767 is a wasteful number, since it uses less digits than its factorization.

676767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127.

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

The square root of 676767 is about 822.6584953673. The cubic root of 676767 is about 87.7970097379.

Subtracting 676767 from its reverse (767676), we obtain a palindrome (90909).

The spelling of 676767 in words is "six hundred seventy-six thousand, seven hundred sixty-seven".