778887648 has 432 divisors, whose sum is σ = 2900072448. Its totient is φ = 193881600.

The previous prime is 778887631. The next prime is 778887677. The reversal of 778887648 is 846788877.

778887648 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 (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7561965 + ... + 7562067.

Almost surely, 2^778887648 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 778887648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450036224).

778887648 is an abundant number, since it is smaller than the sum of its proper divisors (2121184800).

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

778887648 is a wasteful number, since it uses less digits than its factorization.

778887648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 157 counting only the distinct ones).

The product of its digits is 33718272, while the sum is 63.

The square root of 778887648 is about 27908.5586872558. The cubic root of 778887648 is about 920.0786196203.

The spelling of 778887648 in words is "seven hundred seventy-eight million, eight hundred eighty-seven thousand, six hundred forty-eight".