12802320 has 80 divisors (see below), whose sum is σ = 44104320. Its totient is φ = 3413376.

The previous prime is 12802313. The next prime is 12802331. The reversal of 12802320 is 2320821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12802293 and 12802302.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 804 + ... + 5123.

It is an arithmetic number, because the mean of its divisors is an integer number (551304).

Almost surely, 2^12802320 is an apocalyptic number.

12802320 is a gapful number since it is divisible by the number (10) 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 12802320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22052160).

12802320 is an abundant number, since it is smaller than the sum of its proper divisors (31302000).

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

12802320 is a wasteful number, since it uses less digits than its factorization.

12802320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5949 (or 5937 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 12802320 is about 3578.0329791661. The cubic root of 12802320 is about 233.9355509557.

It can be divided in two parts, 1280 and 2320, that added together give a square (3600 = 60²).

The spelling of 12802320 in words is "twelve million, eight hundred two thousand, three hundred twenty".