84422800 has 120 divisors (see below), whose sum is σ = 252965952. Its totient is φ = 26304000.

The previous prime is 84422791. The next prime is 84422801. The reversal of 84422800 is 822448.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84422801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29430 + ... + 32170.

Almost surely, 2^84422800 is an apocalyptic number.

84422800 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 84422800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126482976).

84422800 is an abundant number, since it is smaller than the sum of its proper divisors (168543152).

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

84422800 is a wasteful number, since it uses less digits than its factorization.

84422800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2777 (or 2766 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 84422800 is about 9188.1880694727. The cubic root of 84422800 is about 438.6854706060.

The spelling of 84422800 in words is "eighty-four million, four hundred twenty-two thousand, eight hundred".