778968000 has 336 divisors, whose sum is σ = 2884627200. Its totient is φ = 200448000.

The previous prime is 778967983. The next prime is 778968007. The reversal of 778968000 is 869877.

778968000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×778968000² = 1213582290048000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (778968007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2231826 + ... + 2232174.

It is an arithmetic number, because the mean of its divisors is an integer number (8585200).

Almost surely, 2^778968000 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 778968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442313600).

778968000 is an abundant number, since it is smaller than the sum of its proper divisors (2105659200).

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

778968000 is a wasteful number, since it uses less digits than its factorization.

778968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 778968000 is about 27909.9982085274. The cubic root of 778968000 is about 920.1102577371.

The spelling of 778968000 in words is "seven hundred seventy-eight million, nine hundred sixty-eight thousand".