76811328 has 168 divisors, whose sum is σ = 249631200. Its totient is φ = 23224320.

The previous prime is 76811309. The next prime is 76811351. The reversal of 76811328 is 82311867.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 76811292 and 76811301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170848 + ... + 171296.

It is an arithmetic number, because the mean of its divisors is an integer number (1485900).

Almost surely, 2^76811328 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 76811328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124815600).

76811328 is an abundant number, since it is smaller than the sum of its proper divisors (172819872).

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

76811328 is a wasteful number, since it uses less digits than its factorization.

76811328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 465 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 76811328 is about 8764.2072088695. The cubic root of 76811328 is about 425.0843255975.

It can be divided in two parts, 7681 and 1328, that added together give a palindrome (9009).

The spelling of 76811328 in words is "seventy-six million, eight hundred eleven thousand, three hundred twenty-eight".