76681728 has 150 divisors (see below), whose sum is σ = 234321219. Its totient is φ = 24966144.

The previous prime is 76681727. The next prime is 76681729. The reversal of 76681728 is 82718667.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (76681727) and next prime (76681729).

It can be written as a sum of positive squares in only one way, i.e., 38340864 + 38340864 = 6192^2 + 6192^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6192.

Its product of digits (225792) is a multiple of the sum of its prime divisors (48).

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (76681721) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1783275 + ... + 1783317.

Almost surely, 2^76681728 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 76681728

76681728 is an abundant number, since it is smaller than the sum of its proper divisors (157639491).

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

76681728 is an frugal number, since it uses more digits than its factorization.

76681728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 48 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 76681728 is about 8756.8103782142. The cubic root of 76681728 is about 424.8451163420.

Multiplying 76681728 by its product of digits (225792), we get a square (17314120728576 = 4161024²).

The spelling of 76681728 in words is "seventy-six million, six hundred eighty-one thousand, seven hundred twenty-eight".