77827448033 has 2 divisors, whose sum is σ = 77827448034. Its totient is φ = 77827448032.

The previous prime is 77827448011. The next prime is 77827448057. The reversal of 77827448033 is 33084472877.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72779629729 + 5047818304 = 269777^2 + 71048^2 .

It is an emirp because it is prime and its reverse (33084472877) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 77827448033 - 2¹⁸ = 77827185889 is a prime.

It is a super-2 number, since 2×77827448033² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (77827448833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38913724016 + 38913724017.

It is an arithmetic number, because the mean of its divisors is an integer number (38913724017).

Almost surely, 2^77827448033 is an apocalyptic number.

It is an amenable number.

77827448033 is a deficient number, since it is larger than the sum of its proper divisors (1).

77827448033 is an equidigital number, since it uses as much as digits as its factorization.

77827448033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6322176, while the sum is 53.

The spelling of 77827448033 in words is "seventy-seven billion, eight hundred twenty-seven million, four hundred forty-eight thousand, thirty-three".