76688641 has 2 divisors, whose sum is σ = 76688642. Its totient is φ = 76688640.

The previous prime is 76688639. The next prime is 76688701. The reversal of 76688641 is 14688667.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 40640625 + 36048016 = 6375^2 + 6004^2 .

It is a cyclic number.

It is not a de Polignac number, because 76688641 - 2¹ = 76688639 is a prime.

It is a super-2 number, since 2×76688641² = 11762295316853762, which contains 22 as substring.

Together with 76688639, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 76688591 and 76688600.

It is not a weakly prime, because it can be changed into another prime (76688611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38344320 + 38344321.

It is an arithmetic number, because the mean of its divisors is an integer number (38344321).

Almost surely, 2^76688641 is an apocalyptic number.

It is an amenable number.

76688641 is a deficient number, since it is larger than the sum of its proper divisors (1).

76688641 is an equidigital number, since it uses as much as digits as its factorization.

76688641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 387072, while the sum is 46.

The square root of 76688641 is about 8757.2050906668. The cubic root of 76688641 is about 424.8578828167.

The spelling of 76688641 in words is "seventy-six million, six hundred eighty-eight thousand, six hundred forty-one".