75980080 has 40 divisors (see below), whose sum is σ = 192715344. Its totient is φ = 27628800.

The previous prime is 75980071. The next prime is 75980081. The reversal of 75980080 is 8008957.

75980080 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75980081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42291 + ... + 44050.

Almost surely, 2^75980080 is an apocalyptic number.

It is an amenable number.

75980080 is an abundant number, since it is smaller than the sum of its proper divisors (116735264).

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

75980080 is a wasteful number, since it uses less digits than its factorization.

75980080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86365 (or 86359 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 37.

The square root of 75980080 is about 8716.6553218537. The cubic root of 75980080 is about 423.5453474699.

The spelling of 75980080 in words is "seventy-five million, nine hundred eighty thousand, eighty".