76678687667 has 2 divisors, whose sum is σ = 76678687668. Its totient is φ = 76678687666.

The previous prime is 76678687651. The next prime is 76678687669.

76678687667 is nontrivially palindromic in base 10.

It is a strong prime.

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 76678687667 - 2⁴ = 76678687651 is a prime.

It is a super-2 number, since 2×76678687667² (a number of 23 digits) contains 22 as substring.

Together with 76678687669, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 76678687594 and 76678687603.

It is not a weakly prime, because it can be changed into another prime (76678687669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38339343833 + 38339343834.

It is an arithmetic number, because the mean of its divisors is an integer number (38339343834).

Almost surely, 2^76678687667 is an apocalyptic number.

76678687667 is a deficient number, since it is larger than the sum of its proper divisors (1).

76678687667 is an equidigital number, since it uses as much as digits as its factorization.

76678687667 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1194891264, while the sum is 74.

The spelling of 76678687667 in words is "seventy-six billion, six hundred seventy-eight million, six hundred eighty-seven thousand, six hundred sixty-seven".