82082000 has 320 divisors, whose sum is σ = 272982528. Its totient is φ = 23040000.

The previous prime is 82081991. The next prime is 82082023. The reversal of 82082000 is 28028.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2001980 + ... + 2002020.

Almost surely, 2^82082000 is an apocalyptic number.

82082000 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 82082000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136491264).

82082000 is an abundant number, since it is smaller than the sum of its proper divisors (190900528).

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

82082000 is a wasteful number, since it uses less digits than its factorization.

82082000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 82082000 is about 9059.9116993490. The cubic root of 82082000 is about 434.5929163812.

It can be divided in two parts, 820 and 82000, that multiplied together give a square (67240000 = 8200²).

The spelling of 82082000 in words is "eighty-two million, eighty-two thousand".