505766784 has 64 divisors (see below), whose sum is σ = 1346167440. Its totient is φ = 168247296.

The previous prime is 505766773. The next prime is 505766791. The reversal of 505766784 is 487667505.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 249744 + ... + 251760.

Almost surely, 2^505766784 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 505766784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673083720).

505766784 is an abundant number, since it is smaller than the sum of its proper divisors (840400656).

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

505766784 is a wasteful number, since it uses less digits than its factorization.

505766784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2687 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The square root of 505766784 is about 22489.2593030540. The cubic root of 505766784 is about 796.7402690664.

The spelling of 505766784 in words is "five hundred five million, seven hundred sixty-six thousand, seven hundred eighty-four".