30878820 has 180 divisors, whose sum is σ = 112972860. Its totient is φ = 7039872.

The previous prime is 30878803. The next prime is 30878839. The reversal of 30878820 is 2887803.

It can be written as a sum of positive squares in 2 ways, for example, as 9144576 + 21734244 = 3024^2 + 4662^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

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 59 ways as a sum of consecutive naturals, for example, 79186 + ... + 79574.

It is an arithmetic number, because the mean of its divisors is an integer number (627627).

Almost surely, 2^30878820 is an apocalyptic number.

30878820 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 30878820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56486430).

30878820 is an abundant number, since it is smaller than the sum of its proper divisors (82094040).

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

30878820 is a wasteful number, since it uses less digits than its factorization.

30878820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 30878820 is about 5556.8714219424. The cubic root of 30878820 is about 313.7282054458.

The spelling of 30878820 in words is "thirty million, eight hundred seventy-eight thousand, eight hundred twenty".