77129993 has 2 divisors, whose sum is σ = 77129994. Its totient is φ = 77129992.

The previous prime is 77129977. The next prime is 77130007. The reversal of 77129993 is 39992177.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57032704 + 20097289 = 7552^2 + 4483^2 .

It is a cyclic number.

It is not a de Polignac number, because 77129993 - 2⁴ = 77129977 is a prime.

It is not a weakly prime, because it can be changed into another prime (77129903) 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, 38564996 + 38564997.

It is an arithmetic number, because the mean of its divisors is an integer number (38564997).

Almost surely, 2^77129993 is an apocalyptic number.

It is an amenable number.

77129993 is a deficient number, since it is larger than the sum of its proper divisors (1).

77129993 is an equidigital number, since it uses as much as digits as its factorization.

77129993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 214326, while the sum is 47.

The square root of 77129993 is about 8782.3683024569. The cubic root of 77129993 is about 425.6713596762.

The spelling of 77129993 in words is "seventy-seven million, one hundred twenty-nine thousand, nine hundred ninety-three".