788050632960 has 720 divisors, whose sum is σ = 2925625274880. Its totient is φ = 203166351360.

The previous prime is 788050632907. The next prime is 788050633003. The reversal of 788050632960 is 69236050887.

It is a happy number.

788050632960 is a `hidden beast` number, since 78 + 8 + 0 + 506 + 3 + 2 + 9 + 60 = 666.

788050632960 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 788050632897 and 788050632906.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 781020936 + ... + 781021944.

Almost surely, 2^788050632960 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 788050632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462812637440).

788050632960 is an abundant number, since it is smaller than the sum of its proper divisors (2137574641920).

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

788050632960 is an frugal number, since it uses more digits than its factorization.

788050632960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 788050632960 in words is "seven hundred eighty-eight billion, fifty million, six hundred thirty-two thousand, nine hundred sixty".