12781600 has 72 divisors (see below), whose sum is σ = 33630660. Its totient is φ = 4715520.

The previous prime is 12781589. The next prime is 12781607. The reversal of 12781600 is 618721.

It can be written as a sum of positive squares in 6 ways, for example, as 6370576 + 6411024 = 2524^2 + 2532^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (12781607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9786 + ... + 11014.

Almost surely, 2^12781600 is an apocalyptic number.

12781600 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 12781600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16815330).

12781600 is an abundant number, since it is smaller than the sum of its proper divisors (20849060).

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

12781600 is a wasteful number, since it uses less digits than its factorization.

12781600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 12781600 is about 3575.1363610358. The cubic root of 12781600 is about 233.8092779589.

The spelling of 12781600 in words is "twelve million, seven hundred eighty-one thousand, six hundred".