788636160 has 240 divisors, whose sum is σ = 2942483544. Its totient is φ = 194052096.

The previous prime is 788636159. The next prime is 788636161. The reversal of 788636160 is 61636887.

788636160 is a `hidden beast` number, since 7 + 8 + 8 + 636 + 1 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (788636159) and next prime (788636161).

It can be written as a sum of positive squares in 4 ways, for example, as 348643584 + 439992576 = 18672^2 + 20976^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (788636161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298204 + ... + 300836.

Almost surely, 2^788636160 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 788636160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471241772).

788636160 is an abundant number, since it is smaller than the sum of its proper divisors (2153847384).

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

788636160 is a wasteful number, since it uses less digits than its factorization.

788636160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2675 (or 2656 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 788636160 is about 28082.6665400563. Note that the first 3 decimals coincide. The cubic root of 788636160 is about 923.9012656630.

The spelling of 788636160 in words is "seven hundred eighty-eight million, six hundred thirty-six thousand, one hundred sixty".