82020000 has 120 divisors (see below), whose sum is σ = 269238816. Its totient is φ = 21856000.

The previous prime is 82019939. The next prime is 82020007. The reversal of 82020000 is 2028.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (82020007) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 59317 + ... + 60683.

Almost surely, 2^82020000 is an apocalyptic number.

82020000 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 82020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134619408).

82020000 is an abundant number, since it is smaller than the sum of its proper divisors (187218816).

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

82020000 is a wasteful number, since it uses less digits than its factorization.

82020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 82020000 is about 9056.4893860701. The cubic root of 82020000 is about 434.4834666933.

Adding to 82020000 its reverse (2028), we get a palindrome (82022028).

The spelling of 82020000 in words is "eighty-two million, twenty thousand".