30758500080 has 720 divisors, whose sum is σ = 134030088192. Its totient is φ = 6181401600.

The previous prime is 30758500051. The next prime is 30758500099. The reversal of 30758500080 is 8000585703.

It is a happy number.

30758500080 is a `hidden beast` number, since 3 + 0 + 75 + 8 + 500 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 18904227 + ... + 18905853.

Almost surely, 2^30758500080 is an apocalyptic number.

30758500080 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 30758500080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67015044096).

30758500080 is an abundant number, since it is smaller than the sum of its proper divisors (103271588112).

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

30758500080 is a wasteful number, since it uses less digits than its factorization.

30758500080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 30758500080 in words is "thirty billion, seven hundred fifty-eight million, five hundred thousand, eighty".