820300800 has 264 divisors, whose sum is σ = 2960649792. Its totient is φ = 198656000.

The previous prime is 820300783. The next prime is 820300801. The reversal of 820300800 is 8003028.

It is a tau number, because it is divible by the number of its divisors (264).

It is not an unprimeable number, because it can be changed into a prime (820300801) 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, 844315 + ... + 845285.

Almost surely, 2^820300800 is an apocalyptic number.

820300800 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 820300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480324896).

820300800 is an abundant number, since it is smaller than the sum of its proper divisors (2140348992).

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

820300800 is a wasteful number, since it uses less digits than its factorization.

820300800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 820300800 is about 28640.8938408004. The cubic root of 820300800 is about 936.1045978513.

Adding to 820300800 its reverse (8003028), we get a palindrome (828303828).

The spelling of 820300800 in words is "eight hundred twenty million, three hundred thousand, eight hundred".