77968801 has 2 divisors, whose sum is σ = 77968802. Its totient is φ = 77968800.

The previous prime is 77968763. The next prime is 77968811. The reversal of 77968801 is 10886977.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77018176 + 950625 = 8776^2 + 975^2 .

It is a cyclic number.

It is not a de Polignac number, because 77968801 - 2¹⁷ = 77837729 is a prime.

It is not a weakly prime, because it can be changed into another prime (77968811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38984400 + 38984401.

It is an arithmetic number, because the mean of its divisors is an integer number (38984401).

Almost surely, 2^77968801 is an apocalyptic number.

It is an amenable number.

77968801 is a deficient number, since it is larger than the sum of its proper divisors (1).

77968801 is an equidigital number, since it uses as much as digits as its factorization.

77968801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 169344, while the sum is 46.

The square root of 77968801 is about 8829.9943941092. The cubic root of 77968801 is about 427.2088936163.

The spelling of 77968801 in words is "seventy-seven million, nine hundred sixty-eight thousand, eight hundred one".