84838800 has 180 divisors, whose sum is σ = 290837040. Its totient is φ = 21081600.

The previous prime is 84838783. The next prime is 84838801. The reversal of 84838800 is 883848.

It is not an unprimeable number, because it can be changed into a prime (84838801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1390770 + ... + 1390830.

Almost surely, 2^84838800 is an apocalyptic number.

84838800 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 84838800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145418520).

84838800 is an abundant number, since it is smaller than the sum of its proper divisors (205998240).

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

84838800 is a wasteful number, since it uses less digits than its factorization.

84838800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 84838800 is about 9210.7980110303. The cubic root of 84838800 is about 439.4048427182.

The spelling of 84838800 in words is "eighty-four million, eight hundred thirty-eight thousand, eight hundred".