512780112 has 320 divisors, whose sum is σ = 1732389120. Its totient is φ = 143769600.

The previous prime is 512780111. The next prime is 512780119. The reversal of 512780112 is 211087215.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512780111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3914287 + ... + 3914417.

It is an arithmetic number, because the mean of its divisors is an integer number (5413716).

Almost surely, 2^512780112 is an apocalyptic number.

512780112 is a gapful number since it is divisible by the number (52) 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 512780112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866194560).

512780112 is an abundant number, since it is smaller than the sum of its proper divisors (1219609008).

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

512780112 is a wasteful number, since it uses less digits than its factorization.

512780112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 512780112 is about 22644.6486393585. The cubic root of 512780112 is about 800.4061021498.

The spelling of 512780112 in words is "five hundred twelve million, seven hundred eighty thousand, one hundred twelve".