779878223055360 has 3840 divisors, whose sum is σ = 3373654572288000. Its totient is φ = 170166689464320.

The previous prime is 779878223055319. The next prime is 779878223055403. The reversal of 779878223055360 is 63550322878977.

779878223055360 is a `hidden beast` number, since 7 + 7 + 9 + 8 + 7 + 8 + 2 + 2 + 3 + 0 + 553 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 729539964906 + ... + 729539965974.

It is an arithmetic number, because the mean of its divisors is an integer number (878555878200).

Almost surely, 2^{779878223055360} 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 779878223055360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686827286144000).

779878223055360 is an abundant number, since it is smaller than the sum of its proper divisors (2593776349232640).

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

779878223055360 is a wasteful number, since it uses less digits than its factorization.

779878223055360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 1066867200, while the sum is 72.

The spelling of 779878223055360 in words is "seven hundred seventy-nine trillion, eight hundred seventy-eight billion, two hundred twenty-three million, fifty-five thousand, three hundred sixty".