77027501729 has 2 divisors, whose sum is σ = 77027501730. Its totient is φ = 77027501728.

The previous prime is 77027501711. The next prime is 77027501737. The reversal of 77027501729 is 92710572077.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56241071104 + 20786430625 = 237152^2 + 144175^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-77027501729 is a prime.

It is a super-2 number, since 2×77027501729² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (77027501129) 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, 38513750864 + 38513750865.

It is an arithmetic number, because the mean of its divisors is an integer number (38513750865).

Almost surely, 2^77027501729 is an apocalyptic number.

It is an amenable number.

77027501729 is a deficient number, since it is larger than the sum of its proper divisors (1).

77027501729 is an equidigital number, since it uses as much as digits as its factorization.

77027501729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432180, while the sum is 47.

The spelling of 77027501729 in words is "seventy-seven billion, twenty-seven million, five hundred one thousand, seven hundred twenty-nine".