30782820096 has 432 divisors, whose sum is σ = 105995495424. Its totient is φ = 8728031232.

The previous prime is 30782820073. The next prime is 30782820121. The reversal of 30782820096 is 69002828703.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97106530 + ... + 97106846.

Almost surely, 2^30782820096 is an apocalyptic number.

30782820096 is a gapful number since it is divisible by the number (36) 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 30782820096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52997747712).

30782820096 is an abundant number, since it is smaller than the sum of its proper divisors (75212675328).

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

30782820096 is an equidigital number, since it uses as much as digits as its factorization.

30782820096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 30782820096 in words is "thirty billion, seven hundred eighty-two million, eight hundred twenty thousand, ninety-six".