320788512 has 120 divisors (see below), whose sum is σ = 1029287952. Its totient is φ = 97200000.

The previous prime is 320788493. The next prime is 320788513. The reversal of 320788512 is 215887023.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (320788513) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22887 + ... + 34137.

Almost surely, 2^320788512 is an apocalyptic number.

320788512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320788512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514643976).

320788512 is an abundant number, since it is smaller than the sum of its proper divisors (708499440).

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

320788512 is a wasteful number, since it uses less digits than its factorization.

320788512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11284 (or 11267 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 320788512 is about 17910.5698401810. The cubic root of 320788512 is about 684.5517247492.

It can be divided in two parts, 3207 and 88512, that added together give a palindrome (91719).

The spelling of 320788512 in words is "three hundred twenty million, seven hundred eighty-eight thousand, five hundred twelve".