12782550 has 96 divisors (see below), whose sum is σ = 35426304. Its totient is φ = 3024000.

The previous prime is 12782513. The next prime is 12782599. The reversal of 12782550 is 5528721.

12782550 is digitally balanced in base 2, because in such base 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 (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100587 + ... + 100713.

It is an arithmetic number, because the mean of its divisors is an integer number (369024).

Almost surely, 2^12782550 is an apocalyptic number.

12782550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12782550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17713152).

12782550 is an abundant number, since it is smaller than the sum of its proper divisors (22643754).

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

12782550 is a wasteful number, since it uses less digits than its factorization.

12782550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 12782550 is about 3575.2692206322. The cubic root of 12782550 is about 233.8150704865.

It can be divided in two parts, 1278 and 2550, that added together give a triangular number (3828 = T₈₇).

The spelling of 12782550 in words is "twelve million, seven hundred eighty-two thousand, five hundred fifty".