820532320 has 24 divisors (see below), whose sum is σ = 1938507984. Its totient is φ = 328212864.

The previous prime is 820532267. The next prime is 820532327. The reversal of 820532320 is 23235028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820532327) 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 3 ways as a sum of consecutive naturals, for example, 2564004 + ... + 2564323.

It is an arithmetic number, because the mean of its divisors is an integer number (80771166).

Almost surely, 2^820532320 is an apocalyptic number.

820532320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

820532320 is an abundant number, since it is smaller than the sum of its proper divisors (1117975664).

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

820532320 is a wasteful number, since it uses less digits than its factorization.

820532320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5128342 (or 5128334 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 820532320 is about 28644.9353289548. The cubic root of 820532320 is about 936.1926576419.

Adding to 820532320 its reverse (23235028), we get a palindrome (843767348).

The spelling of 820532320 in words is "eight hundred twenty million, five hundred thirty-two thousand, three hundred twenty".