778982400001 has 16 divisors (see below), whose sum is σ = 871621606800. Its totient is φ = 691233677568.

The previous prime is 778982399983. The next prime is 778982400041. The reversal of 778982400001 is 100004289877.

It can be written as a sum of positive squares in 8 ways, for example, as 5813910001 + 773168490000 = 76249^2 + 879300^2 .

It is a cyclic number.

It is not a de Polignac number, because 778982400001 - 2⁵ = 778982399969 is a prime.

It is a super-2 number, since 2×778982400001² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (778982400041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4425166 + ... + 4597831.

It is an arithmetic number, because the mean of its divisors is an integer number (54476350425).

Almost surely, 2^778982400001 is an apocalyptic number.

It is an amenable number.

778982400001 is a deficient number, since it is larger than the sum of its proper divisors (92639206799).

778982400001 is a wasteful number, since it uses less digits than its factorization.

778982400001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9023268.

The product of its (nonzero) digits is 225792, while the sum is 46.

Adding to 778982400001 its reverse (100004289877), we get a palindrome (878986689878).

The spelling of 778982400001 in words is "seven hundred seventy-eight billion, nine hundred eighty-two million, four hundred thousand, one".