778424216256 has 224 divisors, whose sum is σ = 2330198438400. Its totient is φ = 254749363200.

The previous prime is 778424216233. The next prime is 778424216303. The reversal of 778424216256 is 652612424877.

778424216256 is a `hidden beast` number, since 7 + 7 + 8 + 4 + 2 + 4 + 2 + 1 + 625 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86960581 + ... + 86969531.

It is an arithmetic number, because the mean of its divisors is an integer number (10402671600).

Almost surely, 2^778424216256 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 778424216256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165099219200).

778424216256 is an abundant number, since it is smaller than the sum of its proper divisors (1551774222144).

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

778424216256 is a wasteful number, since it uses less digits than its factorization.

778424216256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9884 (or 9868 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The spelling of 778424216256 in words is "seven hundred seventy-eight billion, four hundred twenty-four million, two hundred sixteen thousand, two hundred fifty-six".