900508720 has 80 divisors (see below), whose sum is σ = 2154862080. Its totient is φ = 349800192.

The previous prime is 900508703. The next prime is 900508729. The reversal of 900508720 is 27805009.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (900508729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 521779 + ... + 523501.

It is an arithmetic number, because the mean of its divisors is an integer number (26935776).

Almost surely, 2^900508720 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 900508720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077431040).

900508720 is an abundant number, since it is smaller than the sum of its proper divisors (1254353360).

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

900508720 is a wasteful number, since it uses less digits than its factorization.

900508720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1922 (or 1916 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 900508720 is about 30008.4774688754. The cubic root of 900508720 is about 965.6712628450.

The spelling of 900508720 in words is "nine hundred million, five hundred eight thousand, seven hundred twenty".