85800000 has 336 divisors, whose sum is σ = 333353664. Its totient is φ = 19200000.

The previous prime is 85799981. The next prime is 85800017. The reversal of 85800000 is 858.

It is a self number, because there is not a number n which added to its sum of digits gives 85800000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6599994 + ... + 6600006.

It is an arithmetic number, because the mean of its divisors is an integer number (992124).

Almost surely, 2^85800000 is an apocalyptic number.

85800000 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 85800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166676832).

85800000 is an abundant number, since it is smaller than the sum of its proper divisors (247553664).

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

85800000 is a wasteful number, since it uses less digits than its factorization.

85800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 85800000 is about 9262.8289415275. The cubic root of 85800000 is about 441.0580597249.

Adding to 85800000 its reverse (858), we get a palindrome (85800858).

85800000 divided by its reverse (858) gives a 5-th power (100000 = 10⁵).

The spelling of 85800000 in words is "eighty-five million, eight hundred thousand".