510080 has 32 divisors (see below), whose sum is σ = 1220940. Its totient is φ = 203776.

The previous prime is 510079. The next prime is 510089. The reversal of 510080 is 80015.

It can be written as a sum of positive squares in 2 ways, for example, as 506944 + 3136 = 712^2 + 56^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (510089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 242 + ... + 1038.

2⁵¹⁰⁰⁸⁰ 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 510080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610470).

510080 is an abundant number, since it is smaller than the sum of its proper divisors (710860).

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

510080 is an equidigital number, since it uses as much as digits as its factorization.

510080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 510080 is about 714.1988518613. The cubic root of 510080 is about 79.8998747389.

Adding to 510080 its reverse (80015), we get a palindrome (590095).

The spelling of 510080 in words is "five hundred ten thousand, eighty".