75468800 has 156 divisors (see below), whose sum is σ = 207199536. Its totient is φ = 27033600.

The previous prime is 75468781. The next prime is 75468851. The reversal of 75468800 is 886457.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1126367 + ... + 1126433.

Almost surely, 2^75468800 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 75468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103599768).

75468800 is an abundant number, since it is smaller than the sum of its proper divisors (131730736).

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

75468800 is a wasteful number, since it uses less digits than its factorization.

75468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 75468800 is about 8687.2780547189. The cubic root of 75468800 is about 422.5931776332.

The spelling of 75468800 in words is "seventy-five million, four hundred sixty-eight thousand, eight hundred".