30416880 has 80 divisors (see below), whose sum is σ = 101556000. Its totient is φ = 7486464.

The previous prime is 30416873. The next prime is 30416899. The reversal of 30416880 is 8861403.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

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, 1755 + ... + 7994.

It is an arithmetic number, because the mean of its divisors is an integer number (1269450).

Almost surely, 2^30416880 is an apocalyptic number.

30416880 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 30416880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50778000).

30416880 is an abundant number, since it is smaller than the sum of its proper divisors (71139120).

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

30416880 is a wasteful number, since it uses less digits than its factorization.

30416880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9778 (or 9772 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 30416880 is about 5515.1500432898. The cubic root of 30416880 is about 312.1559049880.

The spelling of 30416880 in words is "thirty million, four hundred sixteen thousand, eight hundred eighty".