778593816 has 384 divisors, whose sum is σ = 2930342400. Its totient is φ = 186001920.

The previous prime is 778593811. The next prime is 778593821. The reversal of 778593816 is 618395877.

It is an interprime number because it is at equal distance from previous prime (778593811) and next prime (778593821).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2540160) is a multiple of the sum of its prime factors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (778593811) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2810670 + ... + 2810946.

It is an arithmetic number, because the mean of its divisors is an integer number (7631100).

Almost surely, 2^778593816 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 778593816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465171200).

778593816 is an abundant number, since it is smaller than the sum of its proper divisors (2151748584).

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

778593816 is a wasteful number, since it uses less digits than its factorization.

778593816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 313 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The square root of 778593816 is about 27903.2939990962. The cubic root of 778593816 is about 919.9629065070.

The spelling of 778593816 in words is "seven hundred seventy-eight million, five hundred ninety-three thousand, eight hundred sixteen".