8050900 has 72 divisors (see below), whose sum is σ = 20561184. Its totient is φ = 2697600.

The previous prime is 8050891. The next prime is 8050919. The reversal of 8050900 is 90508.

It is a super-3 number, since 3×8050900³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 23 ways as a sum of consecutive naturals, for example, 14019 + ... + 14581.

It is an arithmetic number, because the mean of its divisors is an integer number (285572).

Almost surely, 2^8050900 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 8050900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10280592).

8050900 is an abundant number, since it is smaller than the sum of its proper divisors (12510284).

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

8050900 is a wasteful number, since it uses less digits than its factorization.

8050900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 8050900 is about 2837.4107915492. The cubic root of 8050900 is about 200.4232702462.

The spelling of 8050900 in words is "eight million, fifty thousand, nine hundred".