505753680 has 80 divisors (see below), whose sum is σ = 1578470400. Its totient is φ = 133953024.

The previous prime is 505753663. The next prime is 505753681. The reversal of 505753680 is 86357505.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505753681) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 28689 + ... + 42831.

It is an arithmetic number, because the mean of its divisors is an integer number (19730880).

Almost surely, 2^505753680 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 505753680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789235200).

505753680 is an abundant number, since it is smaller than the sum of its proper divisors (1072716720).

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

505753680 is a wasteful number, since it uses less digits than its factorization.

505753680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14308 (or 14302 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The square root of 505753680 is about 22488.9679620920. The cubic root of 505753680 is about 796.7333880461.

The spelling of 505753680 in words is "five hundred five million, seven hundred fifty-three thousand, six hundred eighty".