85787800 has 96 divisors (see below), whose sum is σ = 235922400. Its totient is φ = 28385280.

The previous prime is 85787789. The next prime is 85787803. The reversal of 85787800 is 878758.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85787803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39544 + ... + 41656.

It is an arithmetic number, because the mean of its divisors is an integer number (2457525).

Almost surely, 2^85787800 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 85787800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117961200).

85787800 is an abundant number, since it is smaller than the sum of its proper divisors (150134600).

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

85787800 is a wasteful number, since it uses less digits than its factorization.

85787800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2165 (or 2156 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 43.

The square root of 85787800 is about 9262.1703720024. The cubic root of 85787800 is about 441.0371538842.

The spelling of 85787800 in words is "eighty-five million, seven hundred eighty-seven thousand, eight hundred".