82738400 has 36 divisors (see below), whose sum is σ = 201987072. Its totient is φ = 33095040.

The previous prime is 82738391. The next prime is 82738417. The reversal of 82738400 is 483728.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50912 + ... + 52511.

It is an arithmetic number, because the mean of its divisors is an integer number (5610752).

Almost surely, 2^82738400 is an apocalyptic number.

82738400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82738400 is an abundant number, since it is smaller than the sum of its proper divisors (119248672).

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

82738400 is a wasteful number, since it uses less digits than its factorization.

82738400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103443 (or 103430 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 82738400 is about 9096.0650833204. The cubic root of 82738400 is about 435.7483046345.

It can be divided in two parts, 82738 and 400, that added together give a palindrome (83138).

The spelling of 82738400 in words is "eighty-two million, seven hundred thirty-eight thousand, four hundred".