768333636 has 144 divisors (see below), whose sum is σ = 2331463680. Its totient is φ = 208716480.

The previous prime is 768333623. The next prime is 768333637. The reversal of 768333636 is 636333867.

768333636 is a `hidden beast` number, since 7 + 6 + 8 + 3 + 3 + 3 + 636 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 768333591 and 768333600.

It is not an unprimeable number, because it can be changed into a prime (768333637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 460075 + ... + 461741.

It is an arithmetic number, because the mean of its divisors is an integer number (16190720).

Almost surely, 2^768333636 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 768333636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165731840).

768333636 is an abundant number, since it is smaller than the sum of its proper divisors (1563130044).

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

768333636 is a wasteful number, since it uses less digits than its factorization.

768333636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774 (or 1769 counting only the distinct ones).

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

The square root of 768333636 is about 27718.8317935659. The cubic root of 768333636 is about 915.9039852197.

The spelling of 768333636 in words is "seven hundred sixty-eight million, three hundred thirty-three thousand, six hundred thirty-six".