77827448057 has 2 divisors, whose sum is σ = 77827448058. Its totient is φ = 77827448056.

The previous prime is 77827448033. The next prime is 77827448099. The reversal of 77827448057 is 75084472877.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69219505216 + 8607942841 = 263096^2 + 92779^2 .

It is a cyclic number.

It is not a de Polignac number, because 77827448057 - 2⁸ = 77827447801 is a prime.

It is a super-2 number, since 2×77827448057² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 77827447987 and 77827448005.

It is not a weakly prime, because it can be changed into another prime (77827448357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38913724028 + 38913724029.

It is an arithmetic number, because the mean of its divisors is an integer number (38913724029).

Almost surely, 2^77827448057 is an apocalyptic number.

It is an amenable number.

77827448057 is a deficient number, since it is larger than the sum of its proper divisors (1).

77827448057 is an equidigital number, since it uses as much as digits as its factorization.

77827448057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24586240, while the sum is 59.

The spelling of 77827448057 in words is "seventy-seven billion, eight hundred twenty-seven million, four hundred forty-eight thousand, fifty-seven".