763366338 has 48 divisors (see below), whose sum is σ = 1900094976. Its totient is φ = 216967680.

The previous prime is 763366319. The next prime is 763366361. The reversal of 763366338 is 833663367.

763366338 is a `hidden beast` number, since 7 + 6 + 3 + 3 + 6 + 633 + 8 = 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 Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 763366293 and 763366302.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8623 + ... + 40013.

It is an arithmetic number, because the mean of its divisors is an integer number (39585312).

Almost surely, 2^763366338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 763366338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950047488).

763366338 is an abundant number, since it is smaller than the sum of its proper divisors (1136728638).

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

763366338 is a wasteful number, since it uses less digits than its factorization.

763366338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31599 (or 31596 counting only the distinct ones).

The product of its digits is 979776, while the sum is 45.

The square root of 763366338 is about 27629.0850011360. The cubic root of 763366338 is about 913.9259349094.

The spelling of 763366338 in words is "seven hundred sixty-three million, three hundred sixty-six thousand, three hundred thirty-eight".