75482880 has 144 divisors (see below), whose sum is σ = 263136384. Its totient is φ = 18288640.

The previous prime is 75482867. The next prime is 75482899. The reversal of 75482880 is 8828457.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41347 + ... + 43133.

It is an arithmetic number, because the mean of its divisors is an integer number (1827336).

Almost surely, 2^75482880 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 75482880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131568192).

75482880 is an abundant number, since it is smaller than the sum of its proper divisors (187653504).

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

75482880 is a wasteful number, since it uses less digits than its factorization.

75482880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822 (or 1808 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The square root of 75482880 is about 8688.0883973403. The cubic root of 75482880 is about 422.6194566693.

The spelling of 75482880 in words is "seventy-five million, four hundred eighty-two thousand, eight hundred eighty".