85390800 has 120 divisors (see below), whose sum is σ = 298448160. Its totient is φ = 20697600.

The previous prime is 85390793. The next prime is 85390841. The reversal of 85390800 is 809358.

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 (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9966 + ... + 16434.

It is an arithmetic number, because the mean of its divisors is an integer number (2487068).

Almost surely, 2^85390800 is an apocalyptic number.

85390800 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 85390800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149224080).

85390800 is an abundant number, since it is smaller than the sum of its proper divisors (213057360).

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

85390800 is a wasteful number, since it uses less digits than its factorization.

85390800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6501 (or 6490 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 85390800 is about 9240.7142581080. The cubic root of 85390800 is about 440.3557728596.

The spelling of 85390800 in words is "eighty-five million, three hundred ninety thousand, eight hundred".