788941888 has 112 divisors (see below), whose sum is σ = 1843430400. Its totient is φ = 328034304.

The previous prime is 788941843. The next prime is 788941889. The reversal of 788941888 is 888149887.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (788941889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3537745 + ... + 3537967.

It is an arithmetic number, because the mean of its divisors is an integer number (16459200).

Almost surely, 2^788941888 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 788941888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921715200).

788941888 is an abundant number, since it is smaller than the sum of its proper divisors (1054488512).

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

788941888 is a wasteful number, since it uses less digits than its factorization.

788941888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 434 counting only the distinct ones).

The product of its digits is 8257536, while the sum is 61.

The square root of 788941888 is about 28088.1093703368. The cubic root of 788941888 is about 924.0206388324.

The spelling of 788941888 in words is "seven hundred eighty-eight million, nine hundred forty-one thousand, eight hundred eighty-eight".