77693846401 has 2 divisors, whose sum is σ = 77693846402. Its totient is φ = 77693846400.

The previous prime is 77693846381. The next prime is 77693846449. The reversal of 77693846401 is 10464839677.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69949670400 + 7744176001 = 264480^2 + 88001^2 .

It is an emirp because it is prime and its reverse (10464839677) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 77693846401 - 2³¹ = 75546362753 is a prime.

It is not a weakly prime, because it can be changed into another prime (77693886401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38846923200 + 38846923201.

It is an arithmetic number, because the mean of its divisors is an integer number (38846923201).

Almost surely, 2^77693846401 is an apocalyptic number.

It is an amenable number.

77693846401 is a deficient number, since it is larger than the sum of its proper divisors (1).

77693846401 is an equidigital number, since it uses as much as digits as its factorization.

77693846401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6096384, while the sum is 55.

The spelling of 77693846401 in words is "seventy-seven billion, six hundred ninety-three million, eight hundred forty-six thousand, four hundred one".