82085400 has 168 divisors, whose sum is σ = 286650180. Its totient is φ = 21850560.

The previous prime is 82085387. The next prime is 82085411. The reversal of 82085400 is 458028.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 145519 + ... + 146081.

Almost surely, 2^82085400 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 82085400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143325090).

82085400 is an abundant number, since it is smaller than the sum of its proper divisors (204564780).

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

82085400 is a wasteful number, since it uses less digits than its factorization.

82085400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 82085400 is about 9060.0993372038. The cubic root of 82085400 is about 434.5989168665.

The spelling of 82085400 in words is "eighty-two million, eighty-five thousand, four hundred".