305106880 has 112 divisors (see below), whose sum is σ = 794211264. Its totient is φ = 110960640.

The previous prime is 305106869. The next prime is 305106889. The reversal of 305106880 is 88601503.

305106880 is nontrivially palindromic in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305106889) 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, 294844 + ... + 295876.

It is an arithmetic number, because the mean of its divisors is an integer number (7091172).

Almost surely, 2^305106880 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 305106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397105632).

305106880 is an abundant number, since it is smaller than the sum of its proper divisors (489104384).

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

305106880 is a wasteful number, since it uses less digits than its factorization.

305106880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 305106880 is about 17467.3088940455. The cubic root of 305106880 is about 673.2101681942.

The spelling of 305106880 in words is "three hundred five million, one hundred six thousand, eight hundred eighty".