76430304 has 72 divisors (see below), whose sum is σ = 225421560. Its totient is φ = 25474176.

The previous prime is 76430303. The next prime is 76430329. The reversal of 76430304 is 40303467.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76430303) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2862 + ... + 12690.

It is an arithmetic number, because the mean of its divisors is an integer number (3130855).

Almost surely, 2^76430304 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 76430304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112710780).

76430304 is an abundant number, since it is smaller than the sum of its proper divisors (148991256).

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

76430304 is an equidigital number, since it uses as much as digits as its factorization.

76430304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9854 (or 9834 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 76430304 is about 8742.4426792516. The cubic root of 76430304 is about 424.3802806396.

The spelling of 76430304 in words is "seventy-six million, four hundred thirty thousand, three hundred four".