75883030080 has 672 divisors, whose sum is σ = 294574715904. Its totient is φ = 16422912000.

The previous prime is 75883030037. The next prime is 75883030087. The reversal of 75883030080 is 8003038857.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (75883030087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46811670 + ... + 46813290.

It is an arithmetic number, because the mean of its divisors is an integer number (438355232).

Almost surely, 2^75883030080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75883030080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147287357952).

75883030080 is an abundant number, since it is smaller than the sum of its proper divisors (218691685824).

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

75883030080 is a wasteful number, since it uses less digits than its factorization.

75883030080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 75883030080 in words is "seventy-five billion, eight hundred eighty-three million, thirty thousand, eighty".