82440400 has 60 divisors (see below), whose sum is σ = 226365472. Its totient is φ = 28264320.

The previous prime is 82440353. The next prime is 82440427. The reversal of 82440400 is 404428.

It is a congruent number.

It is an unprimeable number.

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, 11922 + ... + 17521.

Almost surely, 2^82440400 is an apocalyptic number.

82440400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82440400 is an abundant number, since it is smaller than the sum of its proper divisors (143925072).

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

82440400 is a wasteful number, since it uses less digits than its factorization.

82440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29468 (or 29457 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 82440400 is about 9079.6695975129. The cubic root of 82440400 is about 435.2245284708.

Adding to 82440400 its reverse (404428), we get a palindrome (82844828).

The spelling of 82440400 in words is "eighty-two million, four hundred forty thousand, four hundred".