75805140 has 96 divisors (see below), whose sum is σ = 218655360. Its totient is φ = 19616256.

The previous prime is 75805139. The next prime is 75805151. The reversal of 75805140 is 4150857.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 75805098 and 75805107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 438094 + ... + 438266.

It is an arithmetic number, because the mean of its divisors is an integer number (2277660).

Almost surely, 2^75805140 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 75805140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109327680).

75805140 is an abundant number, since it is smaller than the sum of its proper divisors (142850220).

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

75805140 is a wasteful number, since it uses less digits than its factorization.

75805140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 75805140 is about 8706.6147267466. The cubic root of 75805140 is about 423.2200342978.

Adding to 75805140 its reverse (4150857), we get a palindrome (79955997).

It can be divided in two parts, 7580 and 5140, that added together give a triangular number (12720 = T₁₅₉).

The spelling of 75805140 in words is "seventy-five million, eight hundred five thousand, one hundred forty".