75987984 has 40 divisors (see below), whose sum is σ = 196867360. Its totient is φ = 25256448.

The previous prime is 75987979. The next prime is 75987997. The reversal of 75987984 is 48978957.

It is an unprimeable number.

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, 16104 + ... + 20280.

It is an arithmetic number, because the mean of its divisors is an integer number (4921684).

Almost surely, 2^75987984 is an apocalyptic number.

It is an amenable number.

75987984 is an abundant number, since it is smaller than the sum of its proper divisors (120879376).

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

75987984 is a wasteful number, since it uses less digits than its factorization.

75987984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4567 (or 4561 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 57.

The square root of 75987984 is about 8717.1086949745. The cubic root of 75987984 is about 423.5600337155.

The spelling of 75987984 in words is "seventy-five million, nine hundred eighty-seven thousand, nine hundred eighty-four".