512781920 has 96 divisors (see below), whose sum is σ = 1389503808. Its totient is φ = 175177728.

The previous prime is 512781917. The next prime is 512781967. The reversal of 512781920 is 29187215.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 394712 + ... + 396008.

It is an arithmetic number, because the mean of its divisors is an integer number (14473998).

Almost surely, 2^512781920 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 512781920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694751904).

512781920 is an abundant number, since it is smaller than the sum of its proper divisors (876721888).

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

512781920 is a wasteful number, since it uses less digits than its factorization.

512781920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 35.

The square root of 512781920 is about 22644.6885604550. The cubic root of 512781920 is about 800.4070428600.

The spelling of 512781920 in words is "five hundred twelve million, seven hundred eighty-one thousand, nine hundred twenty".