778141426320 has 960 divisors, whose sum is σ = 2852667417600. Its totient is φ = 189733404672.

The previous prime is 778141426189. The next prime is 778141426331. The reversal of 778141426320 is 23624141877.

778141426320 is a `hidden beast` number, since 7 + 7 + 8 + 1 + 4 + 1 + 4 + 2 + 632 + 0 = 666.

778141426320 is digitally balanced in base 2 and base 4, because in such bases 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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5222425606 + ... + 5222425754.

It is an arithmetic number, because the mean of its divisors is an integer number (2971528560).

Almost surely, 2^778141426320 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 778141426320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426333708800).

778141426320 is an abundant number, since it is smaller than the sum of its proper divisors (2074525991280).

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

778141426320 is a wasteful number, since it uses less digits than its factorization.

778141426320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 778141426320 in words is "seven hundred seventy-eight billion, one hundred forty-one million, four hundred twenty-six thousand, three hundred twenty".