77829456829 has 2 divisors, whose sum is σ = 77829456830. Its totient is φ = 77829456828.

The previous prime is 77829456787. The next prime is 77829456847. The reversal of 77829456829 is 92865492877.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54976180900 + 22853275929 = 234470^2 + 151173^2 .

It is a cyclic number.

It is not a de Polignac number, because 77829456829 - 2¹⁵ = 77829424061 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (77829456329) 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, 38914728414 + 38914728415.

It is an arithmetic number, because the mean of its divisors is an integer number (38914728415).

Almost surely, 2^77829456829 is an apocalyptic number.

It is an amenable number.

77829456829 is a deficient number, since it is larger than the sum of its proper divisors (1).

77829456829 is an equidigital number, since it uses as much as digits as its factorization.

77829456829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 121927680, while the sum is 67.

The spelling of 77829456829 in words is "seventy-seven billion, eight hundred twenty-nine million, four hundred fifty-six thousand, eight hundred twenty-nine".