778042190016 has 1344 divisors, whose sum is σ = 3062036210688. Its totient is φ = 190051909632.

The previous prime is 778042189997. The next prime is 778042190071. The reversal of 778042190016 is 610091240877.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1756302691 + ... + 1756303133.

It is an arithmetic number, because the mean of its divisors is an integer number (2278300752).

Almost surely, 2^778042190016 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 778042190016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531018105344).

778042190016 is an abundant number, since it is smaller than the sum of its proper divisors (2283994020672).

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

778042190016 is a wasteful number, since it uses less digits than its factorization.

778042190016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 778042190016 in words is "seven hundred seventy-eight billion, forty-two million, one hundred ninety thousand, sixteen".