788568 has 64 divisors (see below), whose sum is σ = 2246400. Its totient is φ = 228480.

The previous prime is 788563. The next prime is 788569. The reversal of 788568 is 865887.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (788561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7605 + ... + 7707.

It is an arithmetic number, because the mean of its divisors is an integer number (35100).

2⁷⁸⁸⁵⁶⁸ 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 788568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123200).

788568 is an abundant number, since it is smaller than the sum of its proper divisors (1457832).

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

788568 is a wasteful number, since it uses less digits than its factorization.

788568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 148 counting only the distinct ones).

The product of its digits is 107520, while the sum is 42.

The square root of 788568 is about 888.0135134107. The cubic root of 788568 is about 92.3874648013.

It can be divided in two parts, 78 and 8568, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 788568 in words is "seven hundred eighty-eight thousand, five hundred sixty-eight".