82036800 has 252 divisors, whose sum is σ = 303810416. Its totient is φ = 21772800.

The previous prime is 82036769. The next prime is 82036831. The reversal of 82036800 is 863028.

It is an interprime number because it is at equal distance from previous prime (82036769) and next prime (82036831).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 388695 + ... + 388905.

Almost surely, 2^82036800 is an apocalyptic number.

82036800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151905208).

82036800 is an abundant number, since it is smaller than the sum of its proper divisors (221773616).

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

82036800 is a wasteful number, since it uses less digits than its factorization.

82036800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 82036800 is about 9057.4168502946. The cubic root of 82036800 is about 434.5131294745.

Adding to 82036800 its reverse (863028), we get a palindrome (82899828).

The spelling of 82036800 in words is "eighty-two million, thirty-six thousand, eight hundred".