763241984 has 40 divisors (see below), whose sum is σ = 1528623888. Its totient is φ = 380712960.

The previous prime is 763241909. The next prime is 763241987. The reversal of 763241984 is 489142367.

It is a super-3 number, since 3×763241984³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (763241987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 247814 + ... + 250874.

Almost surely, 2^763241984 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 763241984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764311944).

763241984 is an abundant number, since it is smaller than the sum of its proper divisors (765381904).

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

763241984 is an equidigital number, since it uses as much as digits as its factorization.

763241984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3566 (or 3550 counting only the distinct ones).

The product of its digits is 290304, while the sum is 44.

The square root of 763241984 is about 27626.8344911247. The cubic root of 763241984 is about 913.8763053882.

The spelling of 763241984 in words is "seven hundred sixty-three million, two hundred forty-one thousand, nine hundred eighty-four".