77729693 has 2 divisors, whose sum is σ = 77729694. Its totient is φ = 77729692.

The previous prime is 77729683. The next prime is 77729737. The reversal of 77729693 is 39692777.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75030244 + 2699449 = 8662^2 + 1643^2 .

It is a cyclic number.

It is not a de Polignac number, because 77729693 - 2¹⁴ = 77713309 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (77729623) 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, 38864846 + 38864847.

It is an arithmetic number, because the mean of its divisors is an integer number (38864847).

Almost surely, 2^77729693 is an apocalyptic number.

It is an amenable number.

77729693 is a deficient number, since it is larger than the sum of its proper divisors (1).

77729693 is an equidigital number, since it uses as much as digits as its factorization.

77729693 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1000188, while the sum is 50.

The square root of 77729693 is about 8816.4444647488. Note that the first 4 decimals coincide. The cubic root of 77729693 is about 426.7717372933.

The spelling of 77729693 in words is "seventy-seven million, seven hundred twenty-nine thousand, six hundred ninety-three".