507790960 has 80 divisors (see below), whose sum is σ = 1276480800. Its totient is φ = 187204608.

The previous prime is 507790951. The next prime is 507790991. The reversal of 507790960 is 69097705.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51726 + ... + 60754.

It is an arithmetic number, because the mean of its divisors is an integer number (15956010).

Almost surely, 2^507790960 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 507790960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638240400).

507790960 is an abundant number, since it is smaller than the sum of its proper divisors (768689840).

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

507790960 is a wasteful number, since it uses less digits than its factorization.

507790960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9098 (or 9092 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 43.

The square root of 507790960 is about 22534.2175368926. The cubic root of 507790960 is about 797.8017568581.

The spelling of 507790960 in words is "five hundred seven million, seven hundred ninety thousand, nine hundred sixty".