778065868800 has 1152 divisors, whose sum is σ = 3283102368000. Its totient is φ = 178628198400.

The previous prime is 778065868793. The next prime is 778065868817. The reversal of 778065868800 is 8868560877.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 288920254 + ... + 288922946.

It is an arithmetic number, because the mean of its divisors is an integer number (2849915250).

Almost surely, 2^778065868800 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 778065868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641551184000).

778065868800 is an abundant number, since it is smaller than the sum of its proper divisors (2505036499200).

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

778065868800 is a wasteful number, since it uses less digits than its factorization.

778065868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2764 (or 2733 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 63.

The spelling of 778065868800 in words is "seven hundred seventy-eight billion, sixty-five million, eight hundred sixty-eight thousand, eight hundred".