85352800 has 144 divisors (see below), whose sum is σ = 232953840. Its totient is φ = 30320640.

The previous prime is 85352797. The next prime is 85352809. The reversal of 85352800 is 825358.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85352809) 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, 301459 + ... + 301741.

It is an arithmetic number, because the mean of its divisors is an integer number (1617735).

Almost surely, 2^85352800 is an apocalyptic number.

85352800 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 85352800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116476920).

85352800 is an abundant number, since it is smaller than the sum of its proper divisors (147601040).

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

85352800 is a wasteful number, since it uses less digits than its factorization.

85352800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 85352800 is about 9238.6579111903. The cubic root of 85352800 is about 440.2904418474.

The spelling of 85352800 in words is "eighty-five million, three hundred fifty-two thousand, eight hundred".