768338220 has 72 divisors (see below), whose sum is σ = 2329595856. Its totient is φ = 189126912.

The previous prime is 768338177. The next prime is 768338227. The reversal of 768338220 is 22833867.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (768338227) 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 23 ways as a sum of consecutive naturals, for example, 27747 + ... + 48026.

It is an arithmetic number, because the mean of its divisors is an integer number (32355498).

Almost surely, 2^768338220 is an apocalyptic number.

It is an amenable number.

768338220 is an abundant number, since it is smaller than the sum of its proper divisors (1561257636).

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

768338220 is a wasteful number, since it uses less digits than its factorization.

768338220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75811 (or 75796 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 768338220 is about 27718.9144809100. The cubic root of 768338220 is about 915.9058066921.

The spelling of 768338220 in words is "seven hundred sixty-eight million, three hundred thirty-eight thousand, two hundred twenty".