85073800 has 72 divisors (see below), whose sum is σ = 230116410. Its totient is φ = 29164800.

The previous prime is 85073789. The next prime is 85073809. The reversal of 85073800 is 837058.

It can be written as a sum of positive squares in 3 ways, for example, as 74615044 + 10458756 = 8638^2 + 3234^2 .

It is not an unprimeable number, because it can be changed into a prime (85073809) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 5460 + ... + 14140.

Almost surely, 2^85073800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85073800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115058205).

85073800 is an abundant number, since it is smaller than the sum of its proper divisors (145042610).

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

85073800 is a wasteful number, since it uses less digits than its factorization.

85073800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8711 (or 8695 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 85073800 is about 9223.5459558675. The cubic root of 85073800 is about 439.8101798295.

The spelling of 85073800 in words is "eighty-five million, seventy-three thousand, eight hundred".