778321048800 has 576 divisors, whose sum is σ = 2681603366400. Its totient is φ = 195697582080.

The previous prime is 778321048759. The next prime is 778321048867. The reversal of 778321048800 is 8840123877.

It is a happy number.

778321048800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 778321048800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1422890127 + ... + 1422890673.

It is an arithmetic number, because the mean of its divisors is an integer number (4655561400).

Almost surely, 2^778321048800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 778321048800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340801683200).

778321048800 is an abundant number, since it is smaller than the sum of its proper divisors (1903282317600).

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

778321048800 is a wasteful number, since it uses less digits than its factorization.

778321048800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 48.

The spelling of 778321048800 in words is "seven hundred seventy-eight billion, three hundred twenty-one million, forty-eight thousand, eight hundred".