820730000 has 50 divisors (see below), whose sum is σ = 1987093614. Its totient is φ = 328288000.

The previous prime is 820729981. The next prime is 820730003. The reversal of 820730000 is 37028.

It can be written as a sum of positive squares in 5 ways, for example, as 611869696 + 208860304 = 24736^2 + 14452^2 .

It is a tau number, because it is divible by the number of its divisors (50).

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

It is not an unprimeable number, because it can be changed into a prime (820730003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 31037 + ... + 51036.

Almost surely, 2^820730000 is an apocalyptic number.

820730000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

820730000 is an abundant number, since it is smaller than the sum of its proper divisors (1166363614).

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

820730000 is an equidigital number, since it uses as much as digits as its factorization.

820730000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82101 (or 82080 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 820730000 is about 28648.3856438718. The cubic root of 820730000 is about 936.2678331104.

Adding to 820730000 its reverse (37028), we get a palindrome (820767028).

The spelling of 820730000 in words is "eight hundred twenty million, seven hundred thirty thousand".