75855000 has 160 divisors (see below), whose sum is σ = 255855600. Its totient is φ = 18624000.

The previous prime is 75854971. The next prime is 75855023. The reversal of 75855000 is 55857.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 194806 + ... + 195194.

Almost surely, 2^75855000 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 75855000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127927800).

75855000 is an abundant number, since it is smaller than the sum of its proper divisors (180000600).

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

75855000 is a wasteful number, since it uses less digits than its factorization.

75855000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 30.

The square root of 75855000 is about 8709.4775962741. The cubic root of 75855000 is about 423.3128034078.

The spelling of 75855000 in words is "seventy-five million, eight hundred fifty-five thousand".