332000768 has 120 divisors (see below), whose sum is σ = 764107344. Its totient is φ = 143728640.

The previous prime is 332000761. The next prime is 332000771. The reversal of 332000768 is 867000233.

332000768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×332000768² = 220449019905179648, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 332000768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332000761) 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 11 ways as a sum of consecutive naturals, for example, 1424780 + ... + 1425012.

Almost surely, 2^332000768 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 332000768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382053672).

332000768 is an abundant number, since it is smaller than the sum of its proper divisors (432106576).

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

332000768 is a wasteful number, since it uses less digits than its factorization.

332000768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 332000768 is about 18220.8882330143. Note that the first 3 decimals coincide. The cubic root of 332000768 is about 692.4360911885.

The spelling of 332000768 in words is "three hundred thirty-two million, seven hundred sixty-eight", and thus it is an aban number.