778855320 has 192 divisors, whose sum is σ = 2663668800. Its totient is φ = 197084160.

The previous prime is 778855271. The next prime is 778855321. The reversal of 778855320 is 23558877.

778855320 is a `hidden beast` number, since 7 + 78 + 8 + 553 + 20 = 666.

778855320 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (778855321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 636229 + ... + 637451.

It is an arithmetic number, because the mean of its divisors is an integer number (13873275).

Almost surely, 2^778855320 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 778855320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331834400).

778855320 is an abundant number, since it is smaller than the sum of its proper divisors (1884813480).

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

778855320 is a wasteful number, since it uses less digits than its factorization.

778855320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 778855320 is about 27907.9795040773. The cubic root of 778855320 is about 920.0658900509.

The spelling of 778855320 in words is "seven hundred seventy-eight million, eight hundred fifty-five thousand, three hundred twenty".