778678368 has 96 divisors (see below), whose sum is σ = 2317190400. Its totient is φ = 226976256.

The previous prime is 778678309. The next prime is 778678477. The reversal of 778678368 is 863876877.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×778678368² = 1212680001582286848, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7293 + ... + 40131.

It is an arithmetic number, because the mean of its divisors is an integer number (24137400).

Almost surely, 2^778678368 is an apocalyptic number.

778678368 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 778678368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158595200).

778678368 is an abundant number, since it is smaller than the sum of its proper divisors (1538512032).

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

778678368 is a wasteful number, since it uses less digits than its factorization.

778678368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32884 (or 32876 counting only the distinct ones).

The product of its digits is 18966528, while the sum is 60.

The square root of 778678368 is about 27904.8090479043. The cubic root of 778678368 is about 919.9962066636.

The spelling of 778678368 in words is "seven hundred seventy-eight million, six hundred seventy-eight thousand, three hundred sixty-eight".