788916960 has 576 divisors, whose sum is σ = 3199839552. Its totient is φ = 175177728.

The previous prime is 788916929. The next prime is 788916967. The reversal of 788916960 is 69619887.

788916960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 788916897 and 788916906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (788916967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11774847 + ... + 11774913.

It is an arithmetic number, because the mean of its divisors is an integer number (5555277).

Almost surely, 2^788916960 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 788916960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599919776).

788916960 is an abundant number, since it is smaller than the sum of its proper divisors (2410922592).

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

788916960 is a wasteful number, since it uses less digits than its factorization.

788916960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 788916960 is about 28087.6656203395. The cubic root of 788916960 is about 924.0109067133.

The spelling of 788916960 in words is "seven hundred eighty-eight million, nine hundred sixteen thousand, nine hundred sixty".