305120880 has 60 divisors (see below), whose sum is σ = 1024700040. Its totient is φ = 81365376.

The previous prime is 305120873. The next prime is 305120887. The reversal of 305120880 is 88021503.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (305120873) and next prime (305120887).

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305120887) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 211170 + ... + 212609.

It is an arithmetic number, because the mean of its divisors is an integer number (17078334).

Almost surely, 2^305120880 is an apocalyptic number.

305120880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

305120880 is an abundant number, since it is smaller than the sum of its proper divisors (719579160).

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

305120880 is a wasteful number, since it uses less digits than its factorization.

305120880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423798 (or 423789 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 305120880 is about 17467.7096380722. The cubic root of 305120880 is about 673.2204649119.

The spelling of 305120880 in words is "three hundred five million, one hundred twenty thousand, eight hundred eighty".