12782748 has 48 divisors (see below), whose sum is σ = 32780160. Its totient is φ = 3844800.

The previous prime is 12782741. The next prime is 12782761. The reversal of 12782748 is 84728721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12782741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23358 + ... + 23898.

It is an arithmetic number, because the mean of its divisors is an integer number (682920).

Almost surely, 2^12782748 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12782748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16390080).

12782748 is an abundant number, since it is smaller than the sum of its proper divisors (19997412).

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

12782748 is a wasteful number, since it uses less digits than its factorization.

12782748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 736 counting only the distinct ones).

The product of its digits is 50176, while the sum is 39.

The square root of 12782748 is about 3575.2969107474. The cubic root of 12782748 is about 233.8162777351.

It can be divided in two parts, 12782 and 748, that added together give a triangular number (13530 = T₁₆₄).

The spelling of 12782748 in words is "twelve million, seven hundred eighty-two thousand, seven hundred forty-eight".