85020800 has 72 divisors (see below), whose sum is σ = 211324365. Its totient is φ = 33799680.

The previous prime is 85020797. The next prime is 85020823. The reversal of 85020800 is 802058.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 83320384 + 1700416 = 9128^2 + 1304^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6520.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 521519 + ... + 521681.

Almost surely, 2^85020800 is an apocalyptic number.

85020800 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 85020800

85020800 is an abundant number, since it is smaller than the sum of its proper divisors (126303565).

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

85020800 is an equidigital number, since it uses as much as digits as its factorization.

85020800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 85020800 is about 9220.6724266726. The cubic root of 85020800 is about 439.7188286270.

Adding to 85020800 its reverse (802058), we get a palindrome (85822858).

The spelling of 85020800 in words is "eighty-five million, twenty thousand, eight hundred".