507780 has 144 divisors (see below), whose sum is σ = 1956864. Its totient is φ = 103680.

The previous prime is 507779. The next prime is 507781. The reversal of 507780 is 87705.

It is an interprime number because it is at equal distance from previous prime (507779) and next prime (507781).

It is not an unprimeable number, because it can be changed into a prime (507781) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16365 + ... + 16395.

2⁵⁰⁷⁷⁸⁰ 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 507780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978432).

507780 is an abundant number, since it is smaller than the sum of its proper divisors (1449084).

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

507780 is a wasteful number, since it uses less digits than its factorization.

507780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 507780 is about 712.5868368136. The cubic root of 507780 is about 79.7796016983.

The spelling of 507780 in words is "five hundred seven thousand, seven hundred eighty".