768147232 has 48 divisors (see below), whose sum is σ = 1582596792. Its totient is φ = 366612480.

The previous prime is 768147229. The next prime is 768147239. The reversal of 768147232 is 232741867.

It can be written as a sum of positive squares in 4 ways, for example, as 743980176 + 24167056 = 27276^2 + 4916^2 .

It is not an unprimeable number, because it can be changed into a prime (768147239) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56632 + ... + 68872.

Almost surely, 2^768147232 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 768147232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791298396).

768147232 is an abundant number, since it is smaller than the sum of its proper divisors (814449560).

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

768147232 is a wasteful number, since it uses less digits than its factorization.

768147232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12341 (or 12333 counting only the distinct ones).

The product of its digits is 112896, while the sum is 40.

The square root of 768147232 is about 27715.4691823898. The cubic root of 768147232 is about 915.8299106393.

The spelling of 768147232 in words is "seven hundred sixty-eight million, one hundred forty-seven thousand, two hundred thirty-two".