7776677000401 has 2 divisors, whose sum is σ = 7776677000402. Its totient is φ = 7776677000400.

The previous prime is 7776677000381. The next prime is 7776677000413. The reversal of 7776677000401 is 1040007766777.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7354124998801 + 422552001600 = 2711849^2 + 650040^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-7776677000401 is a prime.

It is not a weakly prime, because it can be changed into another prime (7776677000461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3888338500200 + 3888338500201.

It is an arithmetic number, because the mean of its divisors is an integer number (3888338500201).

Almost surely, 2^{7776677000401} is an apocalyptic number.

It is an amenable number.

7776677000401 is a deficient number, since it is larger than the sum of its proper divisors (1).

7776677000401 is an equidigital number, since it uses as much as digits as its factorization.

7776677000401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2420208, while the sum is 52.

The spelling of 7776677000401 in words is "seven trillion, seven hundred seventy-six billion, six hundred seventy-seven million, four hundred one", and thus it is an aban number.