77842244224877 has 12 divisors (see below), whose sum is σ = 85682816331420. Its totient is φ = 70665865944960.

The previous prime is 77842244224819. The next prime is 77842244224889.

It is a happy number.

77842244224877 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 16954514467396 + 60887729757481 = 4117586^2 + 7803059^2 .

It is not a de Polignac number, because 77842244224877 - 2²² = 77842240030573 is a prime.

It is a hoax number, since the sum of its digits (68) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77842244224807) 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 in 11 ways as a sum of consecutive naturals, for example, 453598508 + ... + 453770085.

It is an arithmetic number, because the mean of its divisors is an integer number (7140234694285).

Almost surely, 2^{77842244224877} is an apocalyptic number.

It is an amenable number.

77842244224877 is a deficient number, since it is larger than the sum of its proper divisors (7840572106543).

77842244224877 is a wasteful number, since it uses less digits than its factorization.

77842244224877 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907369324 (or 907369313 counting only the distinct ones).

The product of its digits is 629407744, while the sum is 68.

The spelling of 77842244224877 in words is "seventy-seven trillion, eight hundred forty-two billion, two hundred forty-four million, two hundred twenty-four thousand, eight hundred seventy-seven".