82045400 has 96 divisors (see below), whose sum is σ = 205902000. Its totient is φ = 30289920.

The previous prime is 82045373. The next prime is 82045421. The reversal of 82045400 is 454028.

It is a super-2 number, since 2×82045400² = 13462895322320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200396 + ... + 200804.

Almost surely, 2^82045400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82045400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102951000).

82045400 is an abundant number, since it is smaller than the sum of its proper divisors (123856600).

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

82045400 is a wasteful number, since it uses less digits than its factorization.

82045400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 82045400 is about 9057.8915868981. The cubic root of 82045400 is about 434.5283124263.

Adding to 82045400 its reverse (454028), we get a palindrome (82499428).

The spelling of 82045400 in words is "eighty-two million, forty-five thousand, four hundred".