778813000000 has 784 divisors, whose sum is σ = 2364709731328. Its totient is φ = 248832000000.

The previous prime is 778812999983. The next prime is 778813000013. The reversal of 778813000000 is 318877.

It is a happy number.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 778813000000 = 500³ + 9200³ = 3350³ + 9050³.

It is a self number, because there is not a number n which added to its sum of digits gives 778813000000.

It is a congruent number.

It is an unprimeable number.

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 in 111 ways as a sum of consecutive naturals, for example, 8028999952 + ... + 8029000048.

It is an arithmetic number, because the mean of its divisors is an integer number (3016211392).

Almost surely, 2^778813000000 is an apocalyptic number.

778813000000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 778813000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182354865664).

778813000000 is an abundant number, since it is smaller than the sum of its proper divisors (1585896731328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

778813000000 is an frugal number, since it uses more digits than its factorization.

778813000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 34.

Adding to 778813000000 its reverse (318877), we get a palindrome (778813318877).

The spelling of 778813000000 in words is "seven hundred seventy-eight billion, eight hundred thirteen million", and thus it is an aban number.