766347077766001 has 8 divisors (see below), whose sum is σ = 766480768770024. Its totient is φ = 766213394457600.

The previous prime is 766347077765977. The next prime is 766347077766041. The reversal of 766347077766001 is 100667770743667.

It can be written as a sum of positive squares in 4 ways, for example, as 466920357555600 + 299426720210401 = 21608340^2 + 17303951^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 766347077766001 - 2²¹ = 766347075668849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (766347077766041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199086801 + ... + 202899601.

It is an arithmetic number, because the mean of its divisors is an integer number (95810096096253).

Almost surely, 2^{766347077766001} is an apocalyptic number.

It is an amenable number.

766347077766001 is a deficient number, since it is larger than the sum of its proper divisors (133691004023).

766347077766001 is a wasteful number, since it uses less digits than its factorization.

766347077766001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3847811.

The product of its (nonzero) digits is 261382464, while the sum is 67.

The spelling of 766347077766001 in words is "seven hundred sixty-six trillion, three hundred forty-seven billion, seventy-seven million, seven hundred sixty-six thousand, one".