820200000 has 168 divisors, whose sum is σ = 2714451264. Its totient is φ = 218560000.

The previous prime is 820199993. The next prime is 820200001. The reversal of 820200000 is 2028.

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 (820200001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 599317 + ... + 600683.

It is an arithmetic number, because the mean of its divisors is an integer number (16157448).

Almost surely, 2^820200000 is an apocalyptic number.

820200000 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 820200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357225632).

820200000 is an abundant number, since it is smaller than the sum of its proper divisors (1894251264).

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

820200000 is an equidigital number, since it uses as much as digits as its factorization.

820200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407 (or 1377 counting only the distinct ones).

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

The square root of 820200000 is about 28639.1340651215. The cubic root of 820200000 is about 936.0662528894.

Adding to 820200000 its reverse (2028), we get a palindrome (820202028).

The spelling of 820200000 in words is "eight hundred twenty million, two hundred thousand".