820906200 has 288 divisors, whose sum is σ = 2955279600. Its totient is φ = 203489280.

The previous prime is 820906157. The next prime is 820906211. The reversal of 820906200 is 2609028.

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 71 ways as a sum of consecutive naturals, for example, 4253304 + ... + 4253496.

Almost surely, 2^820906200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820906200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477639800).

820906200 is an abundant number, since it is smaller than the sum of its proper divisors (2134373400).

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

820906200 is a wasteful number, since it uses less digits than its factorization.

820906200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 820906200 is about 28651.4606957481. The cubic root of 820906200 is about 936.3348298036.

The spelling of 820906200 in words is "eight hundred twenty million, nine hundred six thousand, two hundred".