788424 has 96 divisors (see below), whose sum is σ = 2560320. Its totient is φ = 196992.

The previous prime is 788419. The next prime is 788429. The reversal of 788424 is 424887.

It is an interprime number because it is at equal distance from previous prime (788419) and next prime (788429).

It is a super-2 number, since 2×788424² = 1243224807552, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (788429) by changing a digit.

788424 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 23 ways as a sum of consecutive naturals, for example, 41487 + ... + 41505.

It is an arithmetic number, because the mean of its divisors is an integer number (26670).

2⁷⁸⁸⁴²⁴ 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 788424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280160).

788424 is an abundant number, since it is smaller than the sum of its proper divisors (1771896).

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

788424 is a wasteful number, since it uses less digits than its factorization.

788424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 44 counting only the distinct ones).

The product of its digits is 14336, while the sum is 33.

The square root of 788424 is about 887.9324298616. The cubic root of 788424 is about 92.3818408497.

The spelling of 788424 in words is "seven hundred eighty-eight thousand, four hundred twenty-four".