75199800 has 192 divisors, whose sum is σ = 259983360. Its totient is φ = 17856000.

The previous prime is 75199793. The next prime is 75199801. The reversal of 75199800 is 899157.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75199801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 241645 + ... + 241955.

It is an arithmetic number, because the mean of its divisors is an integer number (1354080).

Almost surely, 2^75199800 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 75199800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129991680).

75199800 is an abundant number, since it is smaller than the sum of its proper divisors (184783560).

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

75199800 is a wasteful number, since it uses less digits than its factorization.

75199800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 39.

The square root of 75199800 is about 8671.7818238238. The cubic root of 75199800 is about 422.0904847037.

The spelling of 75199800 in words is "seventy-five million, one hundred ninety-nine thousand, eight hundred".