509780 has 24 divisors (see below), whose sum is σ = 1088640. Its totient is φ = 200480.

The previous prime is 509767. The next prime is 509783. The reversal of 509780 is 87905.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1241 + ... + 1599.

It is an arithmetic number, because the mean of its divisors is an integer number (45360).

2⁵⁰⁹⁷⁸⁰ is an apocalyptic number.

It is an amenable number.

509780 is an abundant number, since it is smaller than the sum of its proper divisors (578860).

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

509780 is a wasteful number, since it uses less digits than its factorization.

509780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 509780 is about 713.9887954303. The cubic root of 509780 is about 79.8842074820.

Subtracting from 509780 its reverse (87905), we obtain a cube (421875 = 75³).

The spelling of 509780 in words is "five hundred nine thousand, seven hundred eighty".