85080800 has 72 divisors (see below), whose sum is σ = 237391056. Its totient is φ = 29168640.

The previous prime is 85080761. The next prime is 85080811. The reversal of 85080800 is 808058.

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, 1997 + ... + 13196.

It is an arithmetic number, because the mean of its divisors is an integer number (3297098).

Almost surely, 2^85080800 is an apocalyptic number.

85080800 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 85080800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118695528).

85080800 is an abundant number, since it is smaller than the sum of its proper divisors (152310256).

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

85080800 is a wasteful number, since it uses less digits than its factorization.

85080800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15220 (or 15207 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 29.

The square root of 85080800 is about 9223.9254116672. The cubic root of 85080800 is about 439.8222422460.

Adding to 85080800 its reverse (808058), we get a palindrome (85888858).

The spelling of 85080800 in words is "eighty-five million, eighty thousand, eight hundred".