84338800 has 180 divisors, whose sum is σ = 254603496. Its totient is φ = 26611200.

The previous prime is 84338767. The next prime is 84338831. The reversal of 84338800 is 883348.

It is a happy number.

It is a super-2 number, since 2×84338800² = 14226066370880000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 254635 + ... + 254965.

Almost surely, 2^84338800 is an apocalyptic number.

84338800 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 84338800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127301748).

84338800 is an abundant number, since it is smaller than the sum of its proper divisors (170264696).

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

84338800 is a wasteful number, since it uses less digits than its factorization.

84338800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 84338800 is about 9183.6158456242. The cubic root of 84338800 is about 438.5399261639.

The spelling of 84338800 in words is "eighty-four million, three hundred thirty-eight thousand, eight hundred".