768555432 has 128 divisors (see below), whose sum is σ = 2182118400. Its totient is φ = 250589376.

The previous prime is 768555413. The next prime is 768555467. The reversal of 768555432 is 234555867.

768555432 is a `hidden beast` number, since 7 + 68 + 5 + 554 + 32 = 666.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2922133 + ... + 2922395.

It is an arithmetic number, because the mean of its divisors is an integer number (17047800).

Almost surely, 2^768555432 is an apocalyptic number.

768555432 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768555432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091059200).

768555432 is an abundant number, since it is smaller than the sum of its proper divisors (1413562968).

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

768555432 is a wasteful number, since it uses less digits than its factorization.

768555432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 514 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The square root of 768555432 is about 27722.8323228345. The cubic root of 768555432 is about 915.9921085239.

The spelling of 768555432 in words is "seven hundred sixty-eight million, five hundred fifty-five thousand, four hundred thirty-two".