778284564048 has 560 divisors, whose sum is σ = 2466118586880. Its totient is φ = 236904984576.

The previous prime is 778284564047. The next prime is 778284564073. The reversal of 778284564048 is 840465482877.

778284564048 is a `hidden beast` number, since 7 + 7 + 8 + 28 + 4 + 564 + 0 + 48 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (778284564047) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1082453833 + ... + 1082454551.

Almost surely, 2^778284564048 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 778284564048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233059293440).

778284564048 is an abundant number, since it is smaller than the sum of its proper divisors (1687834022832).

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

778284564048 is a wasteful number, since it uses less digits than its factorization.

778284564048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 96337920, while the sum is 63.

The spelling of 778284564048 in words is "seven hundred seventy-eight billion, two hundred eighty-four million, five hundred sixty-four thousand, forty-eight".