30307680 has 144 divisors (see below), whose sum is σ = 111449520. Its totient is φ = 7455744.

The previous prime is 30307649. The next prime is 30307681. The reversal of 30307680 is 8670303.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30307681) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 17911 + ... + 19529.

It is an arithmetic number, because the mean of its divisors is an integer number (773955).

Almost surely, 2^30307680 is an apocalyptic number.

30307680 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 30307680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55724760).

30307680 is an abundant number, since it is smaller than the sum of its proper divisors (81141840).

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

30307680 is a wasteful number, since it uses less digits than its factorization.

30307680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 30307680 is about 5505.2411391328. The cubic root of 30307680 is about 311.7818988557.

Adding to 30307680 its reverse (8670303), we get a palindrome (38977983).

The spelling of 30307680 in words is "thirty million, three hundred seven thousand, six hundred eighty".