788288 has 28 divisors (see below), whose sum is σ = 1592580. Its totient is φ = 387072.

The previous prime is 788287. The next prime is 788309. The reversal of 788288 is 882887.

It can be written as a sum of positive squares in 2 ways, for example, as 222784 + 565504 = 472^2 + 752^2 .

Its product of digits (57344) is a multiple of the sum of its prime divisors (224).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 788288.

It is not an unprimeable number, because it can be changed into a prime (788287) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6920 + ... + 7032.

2⁷⁸⁸²⁸⁸ 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 788288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796290).

788288 is an abundant number, since it is smaller than the sum of its proper divisors (804292).

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

788288 is a wasteful number, since it uses less digits than its factorization.

788288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 224 counting only the distinct ones).

The product of its digits is 57344, while the sum is 41.

The square root of 788288 is about 887.8558441549. The cubic root of 788288 is about 92.3765287110.

The spelling of 788288 in words is "seven hundred eighty-eight thousand, two hundred eighty-eight".