788518560 has 192 divisors, whose sum is σ = 2575722240. Its totient is φ = 202629120.

The previous prime is 788518559. The next prime is 788518561. The reversal of 788518560 is 65815887.

It is an interprime number because it is at equal distance from previous prime (788518559) and next prime (788518561).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (788518561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2026846 + ... + 2027234.

It is an arithmetic number, because the mean of its divisors is an integer number (13415220).

Almost surely, 2^788518560 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 788518560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287861120).

788518560 is an abundant number, since it is smaller than the sum of its proper divisors (1787203680).

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

788518560 is a wasteful number, since it uses less digits than its factorization.

788518560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 48.

The square root of 788518560 is about 28080.5726437336. The cubic root of 788518560 is about 923.8553398841.

The spelling of 788518560 in words is "seven hundred eighty-eight million, five hundred eighteen thousand, five hundred sixty".