30286800720 has 320 divisors, whose sum is σ = 115217268480. Its totient is φ = 7341788160.

The previous prime is 30286800707. The next prime is 30286800743. The reversal of 30286800720 is 2700868203.

It is a happy number.

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 (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1916692 + ... + 1932428.

It is an arithmetic number, because the mean of its divisors is an integer number (360053964).

Almost surely, 2^30286800720 is an apocalyptic number.

30286800720 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 30286800720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57608634240).

30286800720 is an abundant number, since it is smaller than the sum of its proper divisors (84930467760).

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

30286800720 is a wasteful number, since it uses less digits than its factorization.

30286800720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15782 (or 15758 counting only the distinct ones).

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

The spelling of 30286800720 in words is "thirty billion, two hundred eighty-six million, eight hundred thousand, seven hundred twenty".