763901568 has 96 divisors (see below), whose sum is σ = 2211489540. Its totient is φ = 253095936.

The previous prime is 763901563. The next prime is 763901623. The reversal of 763901568 is 865109367.

It is a happy number.

763901568 is a `hidden beast` number, since 7 + 639 + 0 + 1 + 5 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 757790784 + 6110784 = 27528^2 + 2472^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (763901563) 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 11 ways as a sum of consecutive naturals, for example, 197380 + ... + 201212.

Almost surely, 2^763901568 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 763901568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105744770).

763901568 is an abundant number, since it is smaller than the sum of its proper divisors (1447587972).

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

763901568 is a wasteful number, since it uses less digits than its factorization.

763901568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4026 (or 4011 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 763901568 is about 27638.7692924269. The cubic root of 763901568 is about 914.1394830118.

The spelling of 763901568 in words is "seven hundred sixty-three million, nine hundred one thousand, five hundred sixty-eight".