30805120080 has 360 divisors, whose sum is σ = 124498225800. Its totient is φ = 6798145536.

The previous prime is 30805120069. The next prime is 30805120103. The reversal of 30805120080 is 8002150803.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2042316864 + 28762803216 = 45192^2 + 169596^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1008066 + ... + 1038174.

It is an arithmetic number, because the mean of its divisors is an integer number (345828405).

Almost surely, 2^30805120080 is an apocalyptic number.

30805120080 is a gapful number since it is divisible by the number (30) 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 30805120080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62249112900).

30805120080 is an abundant number, since it is smaller than the sum of its proper divisors (93693105720).

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

30805120080 is a wasteful number, since it uses less digits than its factorization.

30805120080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30171 (or 30155 counting only the distinct ones).

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

Adding to 30805120080 its reverse (8002150803), we get a palindrome (38807270883).

The spelling of 30805120080 in words is "thirty billion, eight hundred five million, one hundred twenty thousand, eighty".