820903080 has 64 divisors (see below), whose sum is σ = 2466259200. Its totient is φ = 218592000.

The previous prime is 820903079. The next prime is 820903091. The reversal of 820903080 is 80309028.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85566 + ... + 94674.

It is an arithmetic number, because the mean of its divisors is an integer number (38535300).

Almost surely, 2^820903080 is an apocalyptic number.

It is an amenable number.

820903080 is an abundant number, since it is smaller than the sum of its proper divisors (1645356120).

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

820903080 is a wasteful number, since it uses less digits than its factorization.

820903080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9874 (or 9870 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 820903080 is about 28651.4062482106. The cubic root of 820903080 is about 936.3336435664. Note that the first 3 decimals are identical.

The spelling of 820903080 in words is "eight hundred twenty million, nine hundred three thousand, eighty".