30058880 has 64 divisors (see below), whose sum is σ = 73036080. Its totient is φ = 11827200.

The previous prime is 30058859. The next prime is 30058883. The reversal of 30058880 is 8885003.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30058883) 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, 42530 + ... + 43230.

Almost surely, 2^30058880 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 30058880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36518040).

30058880 is an abundant number, since it is smaller than the sum of its proper divisors (42977200).

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

30058880 is an equidigital number, since it uses as much as digits as its factorization.

30058880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 30058880 is about 5482.5979243421. The cubic root of 30058880 is about 310.9263998041.

The spelling of 30058880 in words is "thirty million, fifty-eight thousand, eight hundred eighty".