85785800 has 48 divisors (see below), whose sum is σ = 203240340. Its totient is φ = 33662720.

The previous prime is 85785793. The next prime is 85785803. The reversal of 85785800 is 858758.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 37871716 + 47914084 = 6154^2 + 6922^2 .

It is not an unprimeable number, because it can be changed into a prime (85785803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6554 + ... + 14646.

Almost surely, 2^85785800 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 85785800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101620170).

85785800 is an abundant number, since it is smaller than the sum of its proper divisors (117454540).

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

85785800 is a wasteful number, since it uses less digits than its factorization.

85785800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8162 (or 8153 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 41.

The square root of 85785800 is about 9262.0624053177. The cubic root of 85785800 is about 441.0337265081.

The spelling of 85785800 in words is "eighty-five million, seven hundred eighty-five thousand, eight hundred".