788608 has 32 divisors (see below), whose sum is σ = 1612620. Its totient is φ = 384000.

The previous prime is 788603. The next prime is 788621. The reversal of 788608 is 806887.

It can be written as a sum of positive squares in 2 ways, for example, as 788544 + 64 = 888^2 + 8^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (788603) by changing a digit.

788608 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7758 + ... + 7858.

2⁷⁸⁸⁶⁰⁸ 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 788608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806310).

788608 is an abundant number, since it is smaller than the sum of its proper divisors (824012).

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

788608 is a wasteful number, since it uses less digits than its factorization.

788608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The square root of 788608 is about 888.0360353049. The cubic root of 788608 is about 92.3890268885.

The spelling of 788608 in words is "seven hundred eighty-eight thousand, six hundred eight".