75146800 has 120 divisors (see below), whose sum is σ = 196366896. Its totient is φ = 27525120.

The previous prime is 75146779. The next prime is 75146803. The reversal of 75146800 is 864157.

It is not an unprimeable number, because it can be changed into a prime (75146803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 292272 + ... + 292528.

Almost surely, 2^75146800 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 75146800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98183448).

75146800 is an abundant number, since it is smaller than the sum of its proper divisors (121220096).

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

75146800 is a wasteful number, since it uses less digits than its factorization.

75146800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 75146800 is about 8668.7253965044. The cubic root of 75146800 is about 421.9912998064.

The spelling of 75146800 in words is "seventy-five million, one hundred forty-six thousand, eight hundred".