778649109035328 has 672 divisors, whose sum is σ = 2473471504078848. Its totient is φ = 233120415744000.

The previous prime is 778649109035327. The next prime is 778649109035333. The reversal of 778649109035328 is 823530901946877.

778649109035328 is a `hidden beast` number, since 7 + 7 + 86 + 4 + 9 + 1 + 0 + 9 + 0 + 3 + 532 + 8 = 666.

It is a super-2 number, since 2×778649109035328² (a number of 31 digits) contains 22 as substring.

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 (778649109035321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6279518226 + ... + 6279642222.

It is an arithmetic number, because the mean of its divisors is an integer number (3680761166784).

It is a 1-persistent number, because it is pandigital, but 2⋅778649109035328 = 1557298218070656 is not.

Almost surely, 2^{778649109035328} 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 778649109035328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236735752039424).

778649109035328 is an abundant number, since it is smaller than the sum of its proper divisors (1694822395043520).

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

778649109035328 is a wasteful number, since it uses less digits than its factorization.

778649109035328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124351 (or 124338 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 778649109035328 in words is "seven hundred seventy-eight trillion, six hundred forty-nine billion, one hundred nine million, thirty-five thousand, three hundred twenty-eight".