788191560 has 160 divisors (see below), whose sum is σ = 2853136440. Its totient is φ = 194006016.

The previous prime is 788191541. The next prime is 788191597. The reversal of 788191560 is 65191887.

788191560 is a `hidden beast` number, since 7 + 8 + 81 + 9 + 1 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 605455236 + 182736324 = 24606^2 + 13518^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32764 + ... + 51476.

Almost surely, 2^788191560 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 788191560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426568220).

788191560 is an abundant number, since it is smaller than the sum of its proper divisors (2064944880).

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

788191560 is a wasteful number, since it uses less digits than its factorization.

788191560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18749 (or 18736 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The square root of 788191560 is about 28074.7495091230. The cubic root of 788191560 is about 923.7276140948.

The spelling of 788191560 in words is "seven hundred eighty-eight million, one hundred ninety-one thousand, five hundred sixty".