85753800 has 288 divisors, whose sum is σ = 323818560. Its totient is φ = 20160000.

The previous prime is 85753793. The next prime is 85753823. The reversal of 85753800 is 835758.

It is a happy number.

85753800 is a `hidden beast` number, since 8 + 575 + 3 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1207765 + ... + 1207835.

It is an arithmetic number, because the mean of its divisors is an integer number (1124370).

Almost surely, 2^85753800 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 85753800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161909280).

85753800 is an abundant number, since it is smaller than the sum of its proper divisors (238064760).

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

85753800 is a wasteful number, since it uses less digits than its factorization.

85753800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 85753800 is about 9260.3347671669. The cubic root of 85753800 is about 440.9788812445.

The spelling of 85753800 in words is "eighty-five million, seven hundred fifty-three thousand, eight hundred".