778794364424448 has 216 divisors, whose sum is σ = 2335967056882368. Its totient is φ = 258779193403392.

The previous prime is 778794364424443. The next prime is 778794364424459. The reversal of 778794364424448 is 844424463497877.

778794364424448 is a `hidden beast` number, since 7 + 7 + 8 + 7 + 9 + 4 + 364 + 4 + 244 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (778794364424441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26436 + ... + 39466307.

Almost surely, 2^{778794364424448} 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 778794364424448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167983528441184).

778794364424448 is an abundant number, since it is smaller than the sum of its proper divisors (1557172692457920).

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

778794364424448 is an equidigital number, since it uses as much as digits as its factorization.

778794364424448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39493091 (or 39493065 counting only the distinct ones).

The product of its digits is 29132587008, while the sum is 81.

The spelling of 778794364424448 in words is "seven hundred seventy-eight trillion, seven hundred ninety-four billion, three hundred sixty-four million, four hundred twenty-four thousand, four hundred forty-eight".