12808000 has 56 divisors (see below), whose sum is σ = 31738824. Its totient is φ = 5120000.

The previous prime is 12807989. The next prime is 12808009. The reversal of 12808000 is 80821.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 304704 + 12503296 = 552^2 + 3536^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12808009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7200 + ... + 8800.

Almost surely, 2^12808000 is an apocalyptic number.

12808000 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 12808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15869412).

12808000 is an abundant number, since it is smaller than the sum of its proper divisors (18930824).

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

12808000 is an equidigital number, since it uses as much as digits as its factorization.

12808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 12808000 is about 3578.8266233502. The cubic root of 12808000 is about 233.9701425367.

Adding to 12808000 its reverse (80821), we get a palindrome (12888821).

It can be divided in two parts, 1280 and 8000, that multiplied together give a square (10240000 = 3200²).

The spelling of 12808000 in words is "twelve million, eight hundred eight thousand".