82505400 has 96 divisors (see below), whose sum is σ = 257424000. Its totient is φ = 21859200.

The previous prime is 82505399. The next prime is 82505417. The reversal of 82505400 is 450528.

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

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, 119055 + ... + 119745.

It is an arithmetic number, because the mean of its divisors is an integer number (2681500).

Almost surely, 2^82505400 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 82505400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128712000).

82505400 is an abundant number, since it is smaller than the sum of its proper divisors (174918600).

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

82505400 is a wasteful number, since it uses less digits than its factorization.

82505400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 82505400 is about 9083.2483176450. The cubic root of 82505400 is about 435.3388824471.

Adding to 82505400 its reverse (450528), we get a palindrome (82955928).

The spelling of 82505400 in words is "eighty-two million, five hundred five thousand, four hundred".