85324800 has 264 divisors, whose sum is σ = 310685472. Its totient is φ = 20480000.

The previous prime is 85324793. The next prime is 85324829. The reversal of 85324800 is 842358.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 844750 + ... + 844850.

Almost surely, 2^85324800 is an apocalyptic number.

85324800 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 85324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155342736).

85324800 is an abundant number, since it is smaller than the sum of its proper divisors (225360672).

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

85324800 is a wasteful number, since it uses less digits than its factorization.

85324800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 85324800 is about 9237.1424152711. The cubic root of 85324800 is about 440.2422907979.

The spelling of 85324800 in words is "eighty-five million, three hundred twenty-four thousand, eight hundred".