75928135808 has 192 divisors, whose sum is σ = 187092659520. Its totient is φ = 30535464960.

The previous prime is 75928135771. The next prime is 75928135813. The reversal of 75928135808 is 80853182957.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7640603 + ... + 7650533.

It is an arithmetic number, because the mean of its divisors is an integer number (974440935).

Almost surely, 2^75928135808 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 75928135808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93546329760).

75928135808 is an abundant number, since it is smaller than the sum of its proper divisors (111164523712).

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

75928135808 is a wasteful number, since it uses less digits than its factorization.

75928135808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10035 (or 10016 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 56.

The spelling of 75928135808 in words is "seventy-five billion, nine hundred twenty-eight million, one hundred thirty-five thousand, eight hundred eight".