788320 has 48 divisors (see below), whose sum is σ = 2010960. Its totient is φ = 290304.

The previous prime is 788317. The next prime is 788321. The reversal of 788320 is 23887.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (788321) by changing a digit.

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, 1891 + ... + 2269.

It is an arithmetic number, because the mean of its divisors is an integer number (41895).

2⁷⁸⁸³²⁰ 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 788320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005480).

788320 is an abundant number, since it is smaller than the sum of its proper divisors (1222640).

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

788320 is a wasteful number, since it uses less digits than its factorization.

788320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 788320 is about 887.8738649155. The cubic root of 788320 is about 92.3777786810.

The spelling of 788320 in words is "seven hundred eighty-eight thousand, three hundred twenty".