30008880 has 200 divisors, whose sum is σ = 113970384. Its totient is φ = 7257600.

The previous prime is 30008879. The next prime is 30008897. The reversal of 30008880 is 8880003.

30008880 = T₁₀₁₇ + T₁₀₁₈ + ... + T₁₀₇₁.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 71070 + ... + 71490.

Almost surely, 2^30008880 is an apocalyptic number.

30008880 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 30008880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56985192).

30008880 is an abundant number, since it is smaller than the sum of its proper divisors (83961504).

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

30008880 is a wasteful number, since it uses less digits than its factorization.

30008880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 30008880 is about 5478.0361444591. The cubic root of 30008880 is about 310.7539055983.

Adding to 30008880 its reverse (8880003), we get a palindrome (38888883).

The spelling of 30008880 in words is "thirty million, eight thousand, eight hundred eighty".