75380580 has 108 divisors (see below), whose sum is σ = 251403516. Its totient is φ = 18268800.

The previous prime is 75380573. The next prime is 75380593. The reversal of 75380580 is 8508357.

It is a happy number.

75380580 is a `hidden beast` number, since 75 + 3 + 8 + 0 + 580 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20738916 + 54641664 = 4554^2 + 7392^2 .

It is a super-3 number, since 3×75380580³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20050 + ... + 23510.

Almost surely, 2^75380580 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 75380580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125701758).

75380580 is an abundant number, since it is smaller than the sum of its proper divisors (176022936).

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

75380580 is a wasteful number, since it uses less digits than its factorization.

75380580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3498 (or 3482 counting only the distinct ones).

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

The square root of 75380580 is about 8682.1990301997. The cubic root of 75380580 is about 422.4284486048.

The spelling of 75380580 in words is "seventy-five million, three hundred eighty thousand, five hundred eighty".