30378880 has 64 divisors (see below), whose sum is σ = 83011680. Its totient is φ = 10414080.

The previous prime is 30378871. The next prime is 30378889. The reversal of 30378880 is 8887303.

It is an interprime number because it is at equal distance from previous prime (30378871) and next prime (30378889).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30378889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1090 + ... + 7870.

Almost surely, 2^30378880 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 30378880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41505840).

30378880 is an abundant number, since it is smaller than the sum of its proper divisors (52632800).

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

30378880 is an equidigital number, since it uses as much as digits as its factorization.

30378880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6807 (or 6795 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 30378880 is about 5511.7039107702. The cubic root of 30378880 is about 312.0258580366.

The spelling of 30378880 in words is "thirty million, three hundred seventy-eight thousand, eight hundred eighty".