84379800 has 96 divisors (see below), whose sum is σ = 265608000. Its totient is φ = 22154880.

The previous prime is 84379783. The next prime is 84379819. The reversal of 84379800 is 897348.

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, 39151 + ... + 41249.

It is an arithmetic number, because the mean of its divisors is an integer number (2766750).

Almost surely, 2^84379800 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 84379800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132804000).

84379800 is an abundant number, since it is smaller than the sum of its proper divisors (181228200).

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

84379800 is a wasteful number, since it uses less digits than its factorization.

84379800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2185 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 84379800 is about 9185.8478106270. The cubic root of 84379800 is about 438.6109777802.

The spelling of 84379800 in words is "eighty-four million, three hundred seventy-nine thousand, eight hundred".