82438400 has 108 divisors (see below), whose sum is σ = 222787824. Its totient is φ = 29952000.

The previous prime is 82438379. The next prime is 82438459. The reversal of 82438400 is 483428.

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 11 ways as a sum of consecutive naturals, for example, 69815 + ... + 70985.

Almost surely, 2^82438400 is an apocalyptic number.

82438400 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 82438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111393912).

82438400 is an abundant number, since it is smaller than the sum of its proper divisors (140349424).

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

82438400 is a wasteful number, since it uses less digits than its factorization.

82438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 82438400 is about 9079.5594606787. The cubic root of 82438400 is about 435.2210089339.

The spelling of 82438400 in words is "eighty-two million, four hundred thirty-eight thousand, four hundred".