788144 has 40 divisors (see below), whose sum is σ = 1809408. Its totient is φ = 325440.

The previous prime is 788129. The next prime is 788153. The reversal of 788144 is 441887.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 788144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3359 + ... + 3585.

2⁷⁸⁸¹⁴⁴ 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 788144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904704).

788144 is an abundant number, since it is smaller than the sum of its proper divisors (1021264).

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

788144 is a wasteful number, since it uses less digits than its factorization.

788144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 267 counting only the distinct ones).

The product of its digits is 7168, while the sum is 32.

The square root of 788144 is about 887.7747462054. The cubic root of 788144 is about 92.3709034276.

The spelling of 788144 in words is "seven hundred eighty-eight thousand, one hundred forty-four".