75980320 has 48 divisors (see below), whose sum is σ = 193316760. Its totient is φ = 28053504.

The previous prime is 75980291. The next prime is 75980329. The reversal of 75980320 is 2308957.

It can be written as a sum of positive squares in 4 ways, for example, as 57214096 + 18766224 = 7564^2 + 4332^2 .

It is not an unprimeable number, because it can be changed into a prime (75980329) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 16185 + ... + 20344.

Almost surely, 2^75980320 is an apocalyptic number.

It is an amenable number.

75980320 is an abundant number, since it is smaller than the sum of its proper divisors (117336440).

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

75980320 is a wasteful number, since it uses less digits than its factorization.

75980320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36557 (or 36549 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 75980320 is about 8716.6690885911. The cubic root of 75980320 is about 423.5457934235.

The spelling of 75980320 in words is "seventy-five million, nine hundred eighty thousand, three hundred twenty".