75385080 has 160 divisors (see below), whose sum is σ = 258746400. Its totient is φ = 19678464.

The previous prime is 75385073. The next prime is 75385097. The reversal of 75385080 is 8058357.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 171501 + ... + 171939.

It is an arithmetic number, because the mean of its divisors is an integer number (1617165).

Almost surely, 2^75385080 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 75385080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129373200).

75385080 is an abundant number, since it is smaller than the sum of its proper divisors (183361320).

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

75385080 is a wasteful number, since it uses less digits than its factorization.

75385080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 75385080 is about 8682.4581772675. The cubic root of 75385080 is about 422.4368543515.

The spelling of 75385080 in words is "seventy-five million, three hundred eighty-five thousand, eighty".