84456800 has 72 divisors (see below), whose sum is σ = 207627336. Its totient is φ = 33546240.

The previous prime is 84456793. The next prime is 84456809. The reversal of 84456800 is 865448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84456809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154127 + ... + 154673.

It is an arithmetic number, because the mean of its divisors is an integer number (2883713).

Almost surely, 2^84456800 is an apocalyptic number.

84456800 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 84456800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103813668).

84456800 is an abundant number, since it is smaller than the sum of its proper divisors (123170536).

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

84456800 is a wasteful number, since it uses less digits than its factorization.

84456800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The square root of 84456800 is about 9190.0380847959. The cubic root of 84456800 is about 438.7443540046.

The spelling of 84456800 in words is "eighty-four million, four hundred fifty-six thousand, eight hundred".