75823300 has 72 divisors (see below), whose sum is σ = 197973440. Its totient is φ = 24624000.

The previous prime is 75823289. The next prime is 75823327. The reversal of 75823300 is 332857.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 23 ways as a sum of consecutive naturals, for example, 10450 + ... + 16150.

Almost surely, 2^75823300 is an apocalyptic number.

75823300 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75823300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98986720).

75823300 is an abundant number, since it is smaller than the sum of its proper divisors (122150140).

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

75823300 is a wasteful number, since it uses less digits than its factorization.

75823300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5741 (or 5734 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 75823300 is about 8707.6575495365. The cubic root of 75823300 is about 423.2538273544.

The spelling of 75823300 in words is "seventy-five million, eight hundred twenty-three thousand, three hundred".