788142960 has 200 divisors, whose sum is σ = 2986456176. Its totient is φ = 191047680.

The previous prime is 788142937. The next prime is 788142989. The reversal of 788142960 is 69241887.

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

It is a congruent number.

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, 65752 + ... + 76808.

Almost surely, 2^788142960 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 788142960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493228088).

788142960 is an abundant number, since it is smaller than the sum of its proper divisors (2198313216).

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

788142960 is a wasteful number, since it uses less digits than its factorization.

788142960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11093 (or 11078 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 788142960 is about 28073.8839493220. The cubic root of 788142960 is about 923.7086279807.

The spelling of 788142960 in words is "seven hundred eighty-eight million, one hundred forty-two thousand, nine hundred sixty".