512798720 has 208 divisors, whose sum is σ = 1454721600. Its totient is φ = 173408256.

The previous prime is 512798711. The next prime is 512798723. The reversal of 512798720 is 27897215.

It is not an unprimeable number, because it can be changed into a prime (512798723) 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, 7024604 + ... + 7024676.

Almost surely, 2^512798720 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 512798720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727360800).

512798720 is an abundant number, since it is smaller than the sum of its proper divisors (941922880).

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

512798720 is an frugal number, since it uses more digits than its factorization.

512798720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 41.

The square root of 512798720 is about 22645.0595053314. The cubic root of 512798720 is about 800.4157838673.

The spelling of 512798720 in words is "five hundred twelve million, seven hundred ninety-eight thousand, seven hundred twenty".