782872112 has 40 divisors (see below), whose sum is σ = 1661662992. Its totient is φ = 354355200.

The previous prime is 782872099. The next prime is 782872141. The reversal of 782872112 is 211278287.

782872112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×782872112² = 1225777487494681088, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33188 + ... + 51644.

Almost surely, 2^782872112 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 782872112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830831496).

782872112 is an abundant number, since it is smaller than the sum of its proper divisors (878790880).

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

782872112 is a wasteful number, since it uses less digits than its factorization.

782872112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18717 (or 18711 counting only the distinct ones).

The product of its digits is 25088, while the sum is 38.

The square root of 782872112 is about 27979.8518938182. The cubic root of 782872112 is about 921.6448645834.

The spelling of 782872112 in words is "seven hundred eighty-two million, eight hundred seventy-two thousand, one hundred twelve".