763585056 has 480 divisors, whose sum is σ = 2704762368. Its totient is φ = 209018880.

The previous prime is 763585019. The next prime is 763585057. The reversal of 763585056 is 650585367.

763585056 is a `hidden beast` number, since 7 + 63 + 585 + 0 + 5 + 6 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (763585057) 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 79 ways as a sum of consecutive naturals, for example, 17757771 + ... + 17757813.

Almost surely, 2^763585056 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 763585056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352381184).

763585056 is an abundant number, since it is smaller than the sum of its proper divisors (1941177312).

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

763585056 is a wasteful number, since it uses less digits than its factorization.

763585056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The square root of 763585056 is about 27633.0428291927. The cubic root of 763585056 is about 914.0132119064.

The spelling of 763585056 in words is "seven hundred sixty-three million, five hundred eighty-five thousand, fifty-six".