900055080 has 192 divisors, whose sum is σ = 3100406400. Its totient is φ = 225815040.

The previous prime is 900055031. The next prime is 900055087. The reversal of 900055080 is 80550009.

It is a super-3 number, since 3×900055080³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (900055087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1237677 + ... + 1238403.

It is an arithmetic number, because the mean of its divisors is an integer number (16147950).

Almost surely, 2^900055080 is an apocalyptic number.

900055080 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 900055080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550203200).

900055080 is an abundant number, since it is smaller than the sum of its proper divisors (2200351320).

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

900055080 is a wasteful number, since it uses less digits than its factorization.

900055080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 900055080 is about 30000.9179859550. The cubic root of 900055080 is about 965.5090801873.

The spelling of 900055080 in words is "nine hundred million, fifty-five thousand, eighty".