820425600 has 288 divisors, whose sum is σ = 2981829240. Its totient is φ = 214732800.

The previous prime is 820425587. The next prime is 820425629. The reversal of 820425600 is 6524028.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1756567 + ... + 1757033.

Almost surely, 2^820425600 is an apocalyptic number.

820425600 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 820425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490914620).

820425600 is an abundant number, since it is smaller than the sum of its proper divisors (2161403640).

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

820425600 is a wasteful number, since it uses less digits than its factorization.

820425600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 820425600 is about 28643.0724608936. The cubic root of 820425600 is about 936.1520682141.

Adding to 820425600 its reverse (6524028), we get a palindrome (826949628).

The spelling of 820425600 in words is "eight hundred twenty million, four hundred twenty-five thousand, six hundred".