763882728 has 128 divisors (see below), whose sum is σ = 2256076800. Its totient is φ = 211014144.

The previous prime is 763882703. The next prime is 763882729. The reversal of 763882728 is 827288367.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (763882729) by changing a digit.

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, 702201 + ... + 703287.

It is an arithmetic number, because the mean of its divisors is an integer number (17625600).

Almost surely, 2^763882728 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 763882728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128038400).

763882728 is an abundant number, since it is smaller than the sum of its proper divisors (1492194072).

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

763882728 is a wasteful number, since it uses less digits than its factorization.

763882728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1235 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 51.

The square root of 763882728 is about 27638.4284647300. The cubic root of 763882728 is about 914.1319678509.

The spelling of 763882728 in words is "seven hundred sixty-three million, eight hundred eighty-two thousand, seven hundred twenty-eight".