788799168 has 224 divisors, whose sum is σ = 2457907200. Its totient is φ = 247560192.

The previous prime is 788799127. The next prime is 788799173. The reversal of 788799168 is 861997887.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3537105 + ... + 3537327.

It is an arithmetic number, because the mean of its divisors is an integer number (10972800).

Almost surely, 2^788799168 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 788799168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228953600).

788799168 is an abundant number, since it is smaller than the sum of its proper divisors (1669108032).

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

788799168 is a wasteful number, since it uses less digits than its factorization.

788799168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 340 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 63.

The square root of 788799168 is about 28085.5686785936. The cubic root of 788799168 is about 923.9649168666.

The spelling of 788799168 in words is "seven hundred eighty-eight million, seven hundred ninety-nine thousand, one hundred sixty-eight".