30378720 has 96 divisors (see below), whose sum is σ = 100759680. Its totient is φ = 7672320.

The previous prime is 30378713. The next prime is 30378721. The reversal of 30378720 is 2787303.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30378721) 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 15 ways as a sum of consecutive naturals, for example, 7455 + ... + 10785.

It is an arithmetic number, because the mean of its divisors is an integer number (1049580).

Almost surely, 2^30378720 is an apocalyptic number.

30378720 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 30378720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50379840).

30378720 is an abundant number, since it is smaller than the sum of its proper divisors (70380960).

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

30378720 is a wasteful number, since it uses less digits than its factorization.

30378720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3368 (or 3360 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 30378720 is about 5511.6893961834. The cubic root of 30378720 is about 312.0253102413.

The spelling of 30378720 in words is "thirty million, three hundred seventy-eight thousand, seven hundred twenty".