75975984 has 120 divisors (see below), whose sum is σ = 255856640. Its totient is φ = 20559744.

The previous prime is 75975983. The next prime is 75975989. The reversal of 75975984 is 48957957.

It is a self number, because there is not a number n which added to its sum of digits gives 75975984.

It is not an unprimeable number, because it can be changed into a prime (75975983) 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 23 ways as a sum of consecutive naturals, for example, 17169 + ... + 21135.

Almost surely, 2^75975984 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 75975984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127928320).

75975984 is an abundant number, since it is smaller than the sum of its proper divisors (179880656).

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

75975984 is a wasteful number, since it uses less digits than its factorization.

75975984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4007 (or 3998 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 54.

The square root of 75975984 is about 8716.4203661824. The cubic root of 75975984 is about 423.5377363832.

The spelling of 75975984 in words is "seventy-five million, nine hundred seventy-five thousand, nine hundred eighty-four".