778823040 has 256 divisors, whose sum is σ = 2664990720. Its totient is φ = 192774144.

The previous prime is 778823039. The next prime is 778823047. The reversal of 778823040 is 40328877.

778823040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 778823040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (778823047) 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, 3492369 + ... + 3492591.

It is an arithmetic number, because the mean of its divisors is an integer number (10410120).

Almost surely, 2^778823040 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 778823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332495360).

778823040 is an abundant number, since it is smaller than the sum of its proper divisors (1886167680).

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

778823040 is a wasteful number, since it uses less digits than its factorization.

778823040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 778823040 is about 27907.4011688656. The cubic root of 778823040 is about 920.0531790306.

The spelling of 778823040 in words is "seven hundred seventy-eight million, eight hundred twenty-three thousand, forty".