76005984 has 96 divisors (see below), whose sum is σ = 215550720. Its totient is φ = 23378432.

The previous prime is 76005973. The next prime is 76006009. The reversal of 76005984 is 48950067.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63439 + ... + 64625.

It is an arithmetic number, because the mean of its divisors is an integer number (2245320).

Almost surely, 2^76005984 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 76005984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107775360).

76005984 is an abundant number, since it is smaller than the sum of its proper divisors (139544736).

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

76005984 is a wasteful number, since it uses less digits than its factorization.

76005984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 76005984 is about 8718.1410862637. The cubic root of 76005984 is about 423.5934753128.

The spelling of 76005984 in words is "seventy-six million, five thousand, nine hundred eighty-four".