788409 has 12 divisors (see below), whose sum is σ = 1206036. Its totient is φ = 494592.

The previous prime is 788399. The next prime is 788413. The reversal of 788409 is 904887.

788409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 558009 + 230400 = 747^2 + 480^2 .

It is not a de Polignac number, because 788409 - 2⁴ = 788393 is a prime.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (788419) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2424 + ... + 2729.

It is an arithmetic number, because the mean of its divisors is an integer number (100503).

2⁷⁸⁸⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

788409 is a deficient number, since it is larger than the sum of its proper divisors (417627).

788409 is a wasteful number, since it uses less digits than its factorization.

788409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5176 (or 5173 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 788409 is about 887.9239832328. The cubic root of 788409 is about 92.3812549820.

The spelling of 788409 in words is "seven hundred eighty-eight thousand, four hundred nine".