82442400 has 72 divisors (see below), whose sum is σ = 268357824. Its totient is φ = 21984000.

The previous prime is 82442383. The next prime is 82442407. The reversal of 82442400 is 424428.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (82442407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14776 + ... + 19575.

It is an arithmetic number, because the mean of its divisors is an integer number (3727192).

Almost surely, 2^82442400 is an apocalyptic number.

82442400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82442400 is an abundant number, since it is smaller than the sum of its proper divisors (185915424).

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

82442400 is a wasteful number, since it uses less digits than its factorization.

82442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34374 (or 34361 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 82442400 is about 9079.7797330111. The cubic root of 82442400 is about 435.2280479508.

Adding to 82442400 its reverse (424428), we get a palindrome (82866828).

The spelling of 82442400 in words is "eighty-two million, four hundred forty-two thousand, four hundred".