75982800 has 120 divisors (see below), whose sum is σ = 254073024. Its totient is φ = 19374080.

The previous prime is 75982789. The next prime is 75982801. The reversal of 75982800 is 828957.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75982801) 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 23 ways as a sum of consecutive naturals, for example, 26224 + ... + 28976.

Almost surely, 2^75982800 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 75982800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127036512).

75982800 is an abundant number, since it is smaller than the sum of its proper divisors (178090224).

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

75982800 is a wasteful number, since it uses less digits than its factorization.

75982800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2797 (or 2786 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 75982800 is about 8716.8113436050. The cubic root of 75982800 is about 423.5504015560.

The spelling of 75982800 in words is "seventy-five million, nine hundred eighty-two thousand, eight hundred".