788284 has 24 divisors (see below), whose sum is σ = 1612800. Its totient is φ = 330096.

The previous prime is 788267. The next prime is 788287. The reversal of 788284 is 482887.

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 (788287) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1017 + ... + 1615.

It is an arithmetic number, because the mean of its divisors is an integer number (67200).

2⁷⁸⁸²⁸⁴ 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 788284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806400).

788284 is an abundant number, since it is smaller than the sum of its proper divisors (824516).

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

788284 is a wasteful number, since it uses less digits than its factorization.

788284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 655 counting only the distinct ones).

The product of its digits is 28672, while the sum is 37.

The square root of 788284 is about 887.8535915341. The cubic root of 788284 is about 92.3763724624.

The spelling of 788284 in words is "seven hundred eighty-eight thousand, two hundred eighty-four".