75528080800 has 108 divisors (see below), whose sum is σ = 192749206230. Its totient is φ = 28897538560.

The previous prime is 75528080783. The next prime is 75528080801. The reversal of 75528080800 is 808082557.

It can be written as a sum of positive squares in 3 ways, for example, as 30010711696 + 45517369104 = 173236^2 + 213348^2 .

It is not an unprimeable number, because it can be changed into a prime (75528080801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 333966 + ... + 512434.

Almost surely, 2^75528080800 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 75528080800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96374603115).

75528080800 is an abundant number, since it is smaller than the sum of its proper divisors (117221125430).

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

75528080800 is a wasteful number, since it uses less digits than its factorization.

75528080800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178535 (or 178499 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 43.

The spelling of 75528080800 in words is "seventy-five billion, five hundred twenty-eight million, eighty thousand, eight hundred".