82486800 has 180 divisors, whose sum is σ = 312424944. Its totient is φ = 19987200.

The previous prime is 82486799. The next prime is 82486813. The reversal of 82486800 is 868428.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38559 + ... + 40641.

Almost surely, 2^82486800 is an apocalyptic number.

82486800 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 82486800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156212472).

82486800 is an abundant number, since it is smaller than the sum of its proper divisors (229938144).

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

82486800 is a wasteful number, since it uses less digits than its factorization.

82486800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 82486800 is about 9082.2243971397. The cubic root of 82486800 is about 435.3061657531.

The spelling of 82486800 in words is "eighty-two million, four hundred eighty-six thousand, eight hundred".