30876480 has 168 divisors, whose sum is σ = 108411264. Its totient is φ = 8064000.

The previous prime is 30876479. The next prime is 30876497. The reversal of 30876480 is 8467803.

30876480 is a `hidden beast` number, since 3 + 0 + 8 + 7 + 648 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204405 + ... + 204555.

Almost surely, 2^30876480 is an apocalyptic number.

30876480 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 30876480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54205632).

30876480 is an abundant number, since it is smaller than the sum of its proper divisors (77534784).

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

30876480 is a wasteful number, since it uses less digits than its factorization.

30876480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 30876480 is about 5556.6608678234. The cubic root of 30876480 is about 313.7202804609.

The spelling of 30876480 in words is "thirty million, eight hundred seventy-six thousand, four hundred eighty".