77623247794201 has 2 divisors, whose sum is σ = 77623247794202. Its totient is φ = 77623247794200.

The previous prime is 77623247794133. The next prime is 77623247794249. The reversal of 77623247794201 is 10249774232677.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65457808360000 + 12165439434201 = 8090600^2 + 3487899^2 .

It is a cyclic number.

It is not a de Polignac number, because 77623247794201 - 2³¹ = 77621100310553 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 77623247794201.

It is not a weakly prime, because it can be changed into another prime (77623247794291) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38811623897100 + 38811623897101.

It is an arithmetic number, because the mean of its divisors is an integer number (38811623897101).

Almost surely, 2^{77623247794201} is an apocalyptic number.

It is an amenable number.

77623247794201 is a deficient number, since it is larger than the sum of its proper divisors (1).

77623247794201 is an equidigital number, since it uses as much as digits as its factorization.

77623247794201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 49787136, while the sum is 61.

The spelling of 77623247794201 in words is "seventy-seven trillion, six hundred twenty-three billion, two hundred forty-seven million, seven hundred ninety-four thousand, two hundred one".