507680 has 48 divisors (see below), whose sum is σ = 1270080. Its totient is φ = 191232.

The previous prime is 507673. The next prime is 507691. The reversal of 507680 is 86705.

507680 is nontrivially palindromic in base 9.

It is an unprimeable number.

507680 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 2957 + ... + 3123.

It is an arithmetic number, because the mean of its divisors is an integer number (26460).

2⁵⁰⁷⁶⁸⁰ 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 507680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635040).

507680 is an abundant number, since it is smaller than the sum of its proper divisors (762400).

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

507680 is a wasteful number, since it uses less digits than its factorization.

507680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 507680 is about 712.5166664717. The cubic root of 507680 is about 79.7743642044.

The spelling of 507680 in words is "five hundred seven thousand, six hundred eighty".