778890384 has 80 divisors (see below), whose sum is σ = 2239737600. Its totient is φ = 259161984.

The previous prime is 778890383. The next prime is 778890403. The reversal of 778890384 is 483098877.

778890384 is digitally balanced in base 2, because in such base 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 (54).

It is a self number, because there is not a number n which added to its sum of digits gives 778890384.

It is not an unprimeable number, because it can be changed into a prime (778890383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 305017 + ... + 307559.

It is an arithmetic number, because the mean of its divisors is an integer number (27996720).

Almost surely, 2^778890384 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 778890384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119868800).

778890384 is an abundant number, since it is smaller than the sum of its proper divisors (1460847216).

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

778890384 is a wasteful number, since it uses less digits than its factorization.

778890384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3269 (or 3257 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 778890384 is about 27908.6077044341. The cubic root of 778890384 is about 920.0796969396.

The spelling of 778890384 in words is "seven hundred seventy-eight million, eight hundred ninety thousand, three hundred eighty-four".