12782078200 has 48 divisors (see below), whose sum is σ = 29796921000. Its totient is φ = 5099310720.

The previous prime is 12782078191. The next prime is 12782078233. The reversal of 12782078200 is 287028721.

It is a happy number.

It is a super-2 number, since 2×12782078200² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12782078200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8515 + ... + 160114.

Almost surely, 2^12782078200 is an apocalyptic number.

12782078200 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 12782078200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14898460500).

12782078200 is an abundant number, since it is smaller than the sum of its proper divisors (17014842800).

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

12782078200 is a wasteful number, since it uses less digits than its factorization.

12782078200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169024 (or 169015 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 37.

The spelling of 12782078200 in words is "twelve billion, seven hundred eighty-two million, seventy-eight thousand, two hundred".