85308800 has 96 divisors (see below), whose sum is σ = 215142480. Its totient is φ = 33413120.

The previous prime is 85308799. The next prime is 85308827. The reversal of 85308800 is 880358.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169349 + ... + 169851.

Almost surely, 2^85308800 is an apocalyptic number.

85308800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85308800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107571240).

85308800 is an abundant number, since it is smaller than the sum of its proper divisors (129833680).

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

85308800 is a wasteful number, since it uses less digits than its factorization.

85308800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 85308800 is about 9236.2763059579. The cubic root of 85308800 is about 440.2147711827.

The spelling of 85308800 in words is "eighty-five million, three hundred eight thousand, eight hundred".