778681579608 has 256 divisors, whose sum is σ = 2378263680000. Its totient is φ = 235111403520.

The previous prime is 778681579607. The next prime is 778681579661. The reversal of 778681579608 is 806975186877.

778681579608 is a `hidden beast` number, since 7 + 7 + 8 + 6 + 8 + 1 + 5 + 7 + 9 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (778681579607) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 12226888 + ... + 12290408.

It is an arithmetic number, because the mean of its divisors is an integer number (9290092500).

Almost surely, 2^778681579608 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 778681579608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189131840000).

778681579608 is an abundant number, since it is smaller than the sum of its proper divisors (1599582100392).

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

778681579608 is a wasteful number, since it uses less digits than its factorization.

778681579608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63687 (or 63677 counting only the distinct ones).

The product of its (nonzero) digits is 284497920, while the sum is 72.

The spelling of 778681579608 in words is "seven hundred seventy-eight billion, six hundred eighty-one million, five hundred seventy-nine thousand, six hundred eight".