85030800 has 120 divisors (see below), whose sum is σ = 277229280. Its totient is φ = 22272000.

The previous prime is 85030739. The next prime is 85030801. The reversal of 85030800 is 803058.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (85030801) 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, 70200 + ... + 71400.

It is an arithmetic number, because the mean of its divisors is an integer number (2310244).

Almost surely, 2^85030800 is an apocalyptic number.

85030800 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 85030800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138614640).

85030800 is an abundant number, since it is smaller than the sum of its proper divisors (192198480).

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

85030800 is a wasteful number, since it uses less digits than its factorization.

85030800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 85030800 is about 9221.2146705301. The cubic root of 85030800 is about 439.7360676081.

Adding to 85030800 its reverse (803058), we get a palindrome (85833858).

The spelling of 85030800 in words is "eighty-five million, thirty thousand, eight hundred".