12782000 has 160 divisors (see below), whose sum is σ = 38997504. Its totient is φ = 3936000.

The previous prime is 12781939. The next prime is 12782009. The reversal of 12782000 is 28721.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (12782009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153959 + ... + 154041.

Almost surely, 2^12782000 is an apocalyptic number.

12782000 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 12782000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19498752).

12782000 is an abundant number, since it is smaller than the sum of its proper divisors (26215504).

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

12782000 is a wasteful number, since it uses less digits than its factorization.

12782000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 12782000 is about 3575.1923025202. The cubic root of 12782000 is about 233.8117169529.

The spelling of 12782000 in words is "twelve million, seven hundred eighty-two thousand".