82444800 has 240 divisors, whose sum is σ = 289222560. Its totient is φ = 20643840.

The previous prime is 82444799. The next prime is 82444823. The reversal of 82444800 is 844428.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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, 729544 + ... + 729656.

It is an arithmetic number, because the mean of its divisors is an integer number (1205094).

Almost surely, 2^82444800 is an apocalyptic number.

82444800 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 82444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144611280).

82444800 is an abundant number, since it is smaller than the sum of its proper divisors (206777760).

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

82444800 is a wasteful number, since it uses less digits than its factorization.

82444800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 82444800 is about 9079.9118938457. The cubic root of 82444800 is about 435.2322712517.

The spelling of 82444800 in words is "eighty-two million, four hundred forty-four thousand, eight hundred".