782040780401 has 2 divisors, whose sum is σ = 782040780402. Its totient is φ = 782040780400.

The previous prime is 782040780397. The next prime is 782040780461. The reversal of 782040780401 is 104087040287.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 716729866801 + 65310913600 = 846599^2 + 255560^2 .

It is a cyclic number.

It is not a de Polignac number, because 782040780401 - 2² = 782040780397 is a prime.

It is a super-2 number, since 2×782040780401² (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (782040780461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 391020390200 + 391020390201.

It is an arithmetic number, because the mean of its divisors is an integer number (391020390201).

Almost surely, 2^782040780401 is an apocalyptic number.

It is an amenable number.

782040780401 is a deficient number, since it is larger than the sum of its proper divisors (1).

782040780401 is an equidigital number, since it uses as much as digits as its factorization.

782040780401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 100352, while the sum is 41.

The spelling of 782040780401 in words is "seven hundred eighty-two billion, forty million, seven hundred eighty thousand, four hundred one".