75804300 has 432 divisors, whose sum is σ = 303313920. Its totient is φ = 15552000.

The previous prime is 75804299. The next prime is 75804301. The reversal of 75804300 is 340857.

It is an interprime number because it is at equal distance from previous prime (75804299) and next prime (75804301).

It is not an unprimeable number, because it can be changed into a prime (75804301) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 2445285 + ... + 2445315.

Almost surely, 2^75804300 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 75804300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151656960).

75804300 is an abundant number, since it is smaller than the sum of its proper divisors (227509620).

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

75804300 is a wasteful number, since it uses less digits than its factorization.

75804300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 75804300 is about 8706.5664874278. The cubic root of 75804300 is about 423.2184710522.

The spelling of 75804300 in words is "seventy-five million, eight hundred four thousand, three hundred".