30768120 has 128 divisors (see below), whose sum is σ = 105984000. Its totient is φ = 7931520.

The previous prime is 30768119. The next prime is 30768121. The reversal of 30768120 is 2186703.

It is an interprime number because it is at equal distance from previous prime (30768119) and next prime (30768121).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30768121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33021 + ... + 33939.

It is an arithmetic number, because the mean of its divisors is an integer number (828000).

Almost surely, 2^30768120 is an apocalyptic number.

30768120 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 30768120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52992000).

30768120 is an abundant number, since it is smaller than the sum of its proper divisors (75215880).

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

30768120 is a wasteful number, since it uses less digits than its factorization.

30768120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 30768120 is about 5546.9018379632. The cubic root of 30768120 is about 313.3528532681.

The spelling of 30768120 in words is "thirty million, seven hundred sixty-eight thousand, one hundred twenty".