77993032001 has 2 divisors, whose sum is σ = 77993032002. Its totient is φ = 77993032000.

The previous prime is 77993031983. The next prime is 77993032043. The reversal of 77993032001 is 10023039977.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71174236225 + 6818795776 = 266785^2 + 82576^2 .

It is an emirp because it is prime and its reverse (10023039977) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 77993032001 - 2²⁶ = 77925923137 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 77993032001.

It is not a weakly prime, because it can be changed into another prime (77993032301) 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, 38996516000 + 38996516001.

It is an arithmetic number, because the mean of its divisors is an integer number (38996516001).

Almost surely, 2^77993032001 is an apocalyptic number.

It is an amenable number.

77993032001 is a deficient number, since it is larger than the sum of its proper divisors (1).

77993032001 is an equidigital number, since it uses as much as digits as its factorization.

77993032001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 71442, while the sum is 41.

The spelling of 77993032001 in words is "seventy-seven billion, nine hundred ninety-three million, thirty-two thousand, one".