12807000 has 96 divisors (see below), whose sum is σ = 43318080. Its totient is φ = 3412800.

The previous prime is 12806977. The next prime is 12807013. The reversal of 12807000 is 70821.

12807000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8289 + ... + 9711.

It is an arithmetic number, because the mean of its divisors is an integer number (451230).

Almost surely, 2^12807000 is an apocalyptic number.

12807000 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 12807000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21659040).

12807000 is an abundant number, since it is smaller than the sum of its proper divisors (30511080).

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

12807000 is a wasteful number, since it uses less digits than its factorization.

12807000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 12807000 is about 3578.6869100272. The cubic root of 12807000 is about 233.9640532115.

Adding to 12807000 its reverse (70821), we get a palindrome (12877821).

The spelling of 12807000 in words is "twelve million, eight hundred seven thousand".