768349032 has 128 divisors (see below), whose sum is σ = 2150323200. Its totient is φ = 228719040.

The previous prime is 768349013. The next prime is 768349033. The reversal of 768349032 is 230943867.

It is not an unprimeable number, because it can be changed into a prime (768349033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2140069 + ... + 2140427.

It is an arithmetic number, because the mean of its divisors is an integer number (16799400).

Almost surely, 2^768349032 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 768349032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075161600).

768349032 is an abundant number, since it is smaller than the sum of its proper divisors (1381974168).

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

768349032 is a wasteful number, since it uses less digits than its factorization.

768349032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 768349032 is about 27719.1095095063. The cubic root of 768349032 is about 915.9101028588.

The spelling of 768349032 in words is "seven hundred sixty-eight million, three hundred forty-nine thousand, thirty-two".