85755500 has 48 divisors (see below), whose sum is σ = 195459264. Its totient is φ = 32806400.

The previous prime is 85755491. The next prime is 85755521. The reversal of 85755500 is 555758.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7772 + ... + 15228.

It is an arithmetic number, because the mean of its divisors is an integer number (4072068).

Almost surely, 2^85755500 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 85755500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97729632).

85755500 is an abundant number, since it is smaller than the sum of its proper divisors (109703764).

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

85755500 is a wasteful number, since it uses less digits than its factorization.

85755500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7499 (or 7487 counting only the distinct ones).

The product of its (nonzero) digits is 35000, while the sum is 35.

The square root of 85755500 is about 9260.4265560502. The cubic root of 85755500 is about 440.9817952423.

The spelling of 85755500 in words is "eighty-five million, seven hundred fifty-five thousand, five hundred".