76133304 has 128 divisors (see below), whose sum is σ = 239904000. Its totient is φ = 22177152.

The previous prime is 76133287. The next prime is 76133311. The reversal of 76133304 is 40333167.

It is a happy number.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 52639 + ... + 54065.

It is an arithmetic number, because the mean of its divisors is an integer number (1874250).

Almost surely, 2^76133304 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 76133304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119952000).

76133304 is an abundant number, since it is smaller than the sum of its proper divisors (163770696).

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

76133304 is a wasteful number, since it uses less digits than its factorization.

76133304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 76133304 is about 8725.4400462097. The cubic root of 76133304 is about 423.8298682567.

The spelling of 76133304 in words is "seventy-six million, one hundred thirty-three thousand, three hundred four".