12780900 has 108 divisors (see below), whose sum is σ = 43736784. Its totient is φ = 3096000.

The previous prime is 12780883. The next prime is 12780907. The reversal of 12780900 is 908721.

12780900 is nontrivially palindromic in base 13.

It is a super-3 number, since 3×12780900³ (a number of 22 digits) contains 333 as substring.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (12780907) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9255 + ... + 10545.

Almost surely, 2^12780900 is an apocalyptic number.

12780900 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 12780900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21868392).

12780900 is an abundant number, since it is smaller than the sum of its proper divisors (30955884).

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

12780900 is a wasteful number, since it uses less digits than its factorization.

12780900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 12780900 is about 3575.0384613316. The cubic root of 12780900 is about 233.8050095971.

The spelling of 12780900 in words is "twelve million, seven hundred eighty thousand, nine hundred".