76328300 has 72 divisors (see below), whose sum is σ = 178582320. Its totient is φ = 28211200.

The previous prime is 76328281. The next prime is 76328323. The reversal of 76328300 is 382367.

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 23 ways as a sum of consecutive naturals, for example, 99920 + ... + 100680.

It is an arithmetic number, because the mean of its divisors is an integer number (2480310).

Almost surely, 2^76328300 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 76328300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89291160).

76328300 is an abundant number, since it is smaller than the sum of its proper divisors (102254020).

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

76328300 is a wasteful number, since it uses less digits than its factorization.

76328300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 76328300 is about 8736.6068928389. The cubic root of 76328300 is about 424.1914037335.

The spelling of 76328300 in words is "seventy-six million, three hundred twenty-eight thousand, three hundred".