75085400 has 48 divisors (see below), whose sum is σ = 188008800. Its totient is φ = 27722880.

The previous prime is 75085349. The next prime is 75085403. The reversal of 75085400 is 458057.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75085403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11840 + ... + 17039.

It is an arithmetic number, because the mean of its divisors is an integer number (3916850).

Almost surely, 2^75085400 is an apocalyptic number.

It is an amenable number.

75085400 is an abundant number, since it is smaller than the sum of its proper divisors (112923400).

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

75085400 is a wasteful number, since it uses less digits than its factorization.

75085400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28908 (or 28899 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 29.

The square root of 75085400 is about 8665.1832063725. The cubic root of 75085400 is about 421.8763367127.

The spelling of 75085400 in words is "seventy-five million, eighty-five thousand, four hundred".