819400088761 has 2 divisors, whose sum is σ = 819400088762. Its totient is φ = 819400088760.

The previous prime is 819400088743. The next prime is 819400088777. The reversal of 819400088761 is 167880004918.

It is a happy number.

819400088761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 455949057600 + 363451031161 = 675240^2 + 602869^2 .

It is a cyclic number.

It is not a de Polignac number, because 819400088761 - 2¹⁷ = 819399957689 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 819400088699 and 819400088708.

It is not a weakly prime, because it can be changed into another prime (819400088461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 409700044380 + 409700044381.

It is an arithmetic number, because the mean of its divisors is an integer number (409700044381).

Almost surely, 2^819400088761 is an apocalyptic number.

It is an amenable number.

819400088761 is a deficient number, since it is larger than the sum of its proper divisors (1).

819400088761 is an equidigital number, since it uses as much as digits as its factorization.

819400088761 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 774144, while the sum is 52.

The spelling of 819400088761 in words is "eight hundred nineteen billion, four hundred million, eighty-eight thousand, seven hundred sixty-one".