75116880 has 270 divisors, whose sum is σ = 282826206. Its totient is φ = 17860608.

The previous prime is 75116869. The next prime is 75116887. The reversal of 75116880 is 8861157.

75116880 is a `hidden beast` number, since 7 + 511 + 68 + 80 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 25160256 + 49956624 = 5016^2 + 7068^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75116887) 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 53 ways as a sum of consecutive naturals, for example, 3953511 + ... + 3953529.

Almost surely, 2^75116880 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 75116880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141413103).

75116880 is an abundant number, since it is smaller than the sum of its proper divisors (207709326).

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

75116880 is a wasteful number, since it uses less digits than its factorization.

75116880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 75116880 is about 8666.9994807892. Note that the first 3 decimals coincide. The cubic root of 75116880 is about 421.9352865286.

The spelling of 75116880 in words is "seventy-five million, one hundred sixteen thousand, eight hundred eighty".