76785128 has 64 divisors (see below), whose sum is σ = 172005120. Its totient is φ = 31449600.

The previous prime is 76785083. The next prime is 76785133. The reversal of 76785128 is 82158767.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 121373 + ... + 122003.

It is an arithmetic number, because the mean of its divisors is an integer number (2687580).

Almost surely, 2^76785128 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 76785128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86002560).

76785128 is an abundant number, since it is smaller than the sum of its proper divisors (95219992).

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

76785128 is a wasteful number, since it uses less digits than its factorization.

76785128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 734 counting only the distinct ones).

The product of its digits is 188160, while the sum is 44.

The square root of 76785128 is about 8762.7123654722. The cubic root of 76785128 is about 425.0359886479.

The spelling of 76785128 in words is "seventy-six million, seven hundred eighty-five thousand, one hundred twenty-eight".