85784400 has 360 divisors, whose sum is σ = 337656960. Its totient is φ = 20666880.

The previous prime is 85784381. The next prime is 85784429. The reversal of 85784400 is 448758.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1825177 + ... + 1825223.

It is an arithmetic number, because the mean of its divisors is an integer number (937936).

Almost surely, 2^85784400 is an apocalyptic number.

85784400 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 85784400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168828480).

85784400 is an abundant number, since it is smaller than the sum of its proper divisors (251872560).

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

85784400 is a wasteful number, since it uses less digits than its factorization.

85784400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 85784400 is about 9261.9868278896. The cubic root of 85784400 is about 441.0313273132.

The spelling of 85784400 in words is "eighty-five million, seven hundred eighty-four thousand, four hundred".