788578560 has 648 divisors, whose sum is σ = 3489647616. Its totient is φ = 162570240.

The previous prime is 788578559. The next prime is 788578561. The reversal of 788578560 is 65875887.

It is a happy number.

788578560 is a `hidden beast` number, since 7 + 8 + 8 + 5 + 78 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (788578559) and next prime (788578561).

It is a super-2 number, since 2×788578560² = 1243712290583347200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 788578497 and 788578506.

It is not an unprimeable number, because it can be changed into a prime (788578561) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6209217 + ... + 6209343.

Almost surely, 2^788578560 is an apocalyptic number.

788578560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 788578560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744823808).

788578560 is an abundant number, since it is smaller than the sum of its proper divisors (2701069056).

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

788578560 is a wasteful number, since it uses less digits than its factorization.

788578560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The square root of 788578560 is about 28081.6409776922. The cubic root of 788578560 is about 923.8787719745.

The spelling of 788578560 in words is "seven hundred eighty-eight million, five hundred seventy-eight thousand, five hundred sixty".