900680880 has 160 divisors (see below), whose sum is σ = 3058518528. Its totient is φ = 217446400.

The previous prime is 900680873. The next prime is 900680909. The reversal of 900680880 is 88086009.

It is a super-2 number, since 2×900680880² = 1622452095195148800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 820492 + ... + 821588.

Almost surely, 2^900680880 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 900680880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529259264).

900680880 is an abundant number, since it is smaller than the sum of its proper divisors (2157837648).

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

900680880 is a wasteful number, since it uses less digits than its factorization.

900680880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 900680880 is about 30011.3458545264. The cubic root of 900680880 is about 965.7327981999.

The spelling of 900680880 in words is "nine hundred million, six hundred eighty thousand, eight hundred eighty".