85332800 has 168 divisors, whose sum is σ = 253227840. Its totient is φ = 27648000.

The previous prime is 85332791. The next prime is 85332803. The reversal of 85332800 is 823358.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85332803) 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, 212600 + ... + 213000.

Almost surely, 2^85332800 is an apocalyptic number.

85332800 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 85332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126613920).

85332800 is an abundant number, since it is smaller than the sum of its proper divisors (167895040).

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

85332800 is a wasteful number, since it uses less digits than its factorization.

85332800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 85332800 is about 9237.5754394754. The cubic root of 85332800 is about 440.2560493154.

The spelling of 85332800 in words is "eighty-five million, three hundred thirty-two thousand, eight hundred".