76380304 has 160 divisors (see below), whose sum is σ = 209986560. Its totient is φ = 25920000.

The previous prime is 76380299. The next prime is 76380313. The reversal of 76380304 is 40308367.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 304179 + ... + 304429.

It is an arithmetic number, because the mean of its divisors is an integer number (1312416).

Almost surely, 2^76380304 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 76380304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104993280).

76380304 is an abundant number, since it is smaller than the sum of its proper divisors (133606256).

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

76380304 is a wasteful number, since it uses less digits than its factorization.

76380304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 76380304 is about 8739.5825987286. The cubic root of 76380304 is about 424.2877185637.

The spelling of 76380304 in words is "seventy-six million, three hundred eighty thousand, three hundred four".