766038401 has 2 divisors, whose sum is σ = 766038402. Its totient is φ = 766038400.

The previous prime is 766038367. The next prime is 766038419. The reversal of 766038401 is 104830667.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 469372225 + 296666176 = 21665^2 + 17224^2 .

It is an emirp because it is prime and its reverse (104830667) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 766038401 - 2⁶ = 766038337 is a prime.

It is not a weakly prime, because it can be changed into another prime (766038461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 383019200 + 383019201.

It is an arithmetic number, because the mean of its divisors is an integer number (383019201).

Almost surely, 2^766038401 is an apocalyptic number.

It is an amenable number.

766038401 is a deficient number, since it is larger than the sum of its proper divisors (1).

766038401 is an equidigital number, since it uses as much as digits as its factorization.

766038401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 766038401 is about 27677.3987397660. The cubic root of 766038401 is about 914.9910520988.

The spelling of 766038401 in words is "seven hundred sixty-six million, thirty-eight thousand, four hundred one".