788358560 has 144 divisors (see below), whose sum is σ = 2097029088. Its totient is φ = 279713280.

The previous prime is 788358547. The next prime is 788358563. The reversal of 788358560 is 65853887.

It is a junction number, because it is equal to n+sod(n) for n = 788358499 and 788358508.

It is not an unprimeable number, because it can be changed into a prime (788358563) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 832007 + ... + 832953.

It is an arithmetic number, because the mean of its divisors is an integer number (14562702).

Almost surely, 2^788358560 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 788358560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048514544).

788358560 is an abundant number, since it is smaller than the sum of its proper divisors (1308670528).

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

788358560 is a wasteful number, since it uses less digits than its factorization.

788358560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 50.

The square root of 788358560 is about 28077.7235544479. The cubic root of 788358560 is about 923.7928484979.

The spelling of 788358560 in words is "seven hundred eighty-eight million, three hundred fifty-eight thousand, five hundred sixty".