768821328 has 320 divisors, whose sum is σ = 2639831040. Its totient is φ = 211507200.

The previous prime is 768821323. The next prime is 768821329. The reversal of 768821328 is 823128867.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768821323) 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 63 ways as a sum of consecutive naturals, for example, 2504151 + ... + 2504457.

It is an arithmetic number, because the mean of its divisors is an integer number (8249472).

Almost surely, 2^768821328 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 768821328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319915520).

768821328 is an abundant number, since it is smaller than the sum of its proper divisors (1871009712).

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

768821328 is a wasteful number, since it uses less digits than its factorization.

768821328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 371 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 768821328 is about 27727.6275220221. The cubic root of 768821328 is about 916.0977311613.

It can be divided in two parts, 76882 and 1328, that added together give a triangular number (78210 = T₃₉₅).

The spelling of 768821328 in words is "seven hundred sixty-eight million, eight hundred twenty-one thousand, three hundred twenty-eight".