778768872 has 128 divisors (see below), whose sum is σ = 2312217600. Its totient is φ = 213954048.

The previous prime is 778768847. The next prime is 778768873. The reversal of 778768872 is 278867877.

778768872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (778768873) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 483204 + ... + 484812.

It is an arithmetic number, because the mean of its divisors is an integer number (18064200).

Almost surely, 2^778768872 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 778768872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156108800).

778768872 is an abundant number, since it is smaller than the sum of its proper divisors (1533448728).

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

778768872 is a wasteful number, since it uses less digits than its factorization.

778768872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735 (or 1731 counting only the distinct ones).

The product of its digits is 14751744, while the sum is 60.

The square root of 778768872 is about 27906.4306567501. The cubic root of 778768872 is about 920.0318482989.

The spelling of 778768872 in words is "seven hundred seventy-eight million, seven hundred sixty-eight thousand, eight hundred seventy-two".