84785400 has 192 divisors, whose sum is σ = 333907200. Its totient is φ = 19370880.

The previous prime is 84785381. The next prime is 84785401. The reversal of 84785400 is 458748.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84785401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36679 + ... + 38921.

It is an arithmetic number, because the mean of its divisors is an integer number (1739100).

Almost surely, 2^84785400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84785400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166953600).

84785400 is an abundant number, since it is smaller than the sum of its proper divisors (249121800).

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

84785400 is a wasteful number, since it uses less digits than its factorization.

84785400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2275 (or 2260 counting only the distinct ones).

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

The square root of 84785400 is about 9207.8987831101. The cubic root of 84785400 is about 439.3126319870.

The spelling of 84785400 in words is "eighty-four million, seven hundred eighty-five thousand, four hundred".