75885000 has 80 divisors (see below), whose sum is σ = 237111600. Its totient is φ = 20232000.

The previous prime is 75884999. The next prime is 75885001. The reversal of 75885000 is 58857.

It is an interprime number because it is at equal distance from previous prime (75884999) and next prime (75885001).

It is not an unprimeable number, because it can be changed into a prime (75885001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12471 + ... + 17529.

It is an arithmetic number, because the mean of its divisors is an integer number (2963895).

Almost surely, 2^75885000 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 75885000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118555800).

75885000 is an abundant number, since it is smaller than the sum of its proper divisors (161226600).

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

75885000 is a wasteful number, since it uses less digits than its factorization.

75885000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5088 (or 5069 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 33.

The square root of 75885000 is about 8711.1996877583. The cubic root of 75885000 is about 423.3686015767.

It can be divided in two parts, 758 and 85000, that added together give a palindrome (85758).

The spelling of 75885000 in words is "seventy-five million, eight hundred eighty-five thousand".