788448 has 48 divisors (see below), whose sum is σ = 2128896. Its totient is φ = 255360.

The previous prime is 788429. The next prime is 788449. The reversal of 788448 is 844887.

It is a tau number, because it is divible by the number of its divisors (48).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (788449) by changing a digit.

788448 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 7 ways as a sum of consecutive naturals, for example, 4033 + ... + 4223.

It is an arithmetic number, because the mean of its divisors is an integer number (44352).

2⁷⁸⁸⁴⁴⁸ 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 788448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064448).

788448 is an abundant number, since it is smaller than the sum of its proper divisors (1340448).

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

788448 is a wasteful number, since it uses less digits than its factorization.

788448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 239 counting only the distinct ones).

The product of its digits is 57344, while the sum is 39.

The square root of 788448 is about 887.9459443007. The cubic root of 788448 is about 92.3827782225.

The spelling of 788448 in words is "seven hundred eighty-eight thousand, four hundred forty-eight".