76281984 has 96 divisors (see below), whose sum is σ = 229132800. Its totient is φ = 24313344.

The previous prime is 76281923. The next prime is 76281991. The reversal of 76281984 is 48918267.

76281984 is a `hidden beast` number, since 7 + 628 + 19 + 8 + 4 = 666.

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

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 11 ways as a sum of consecutive naturals, for example, 25057 + ... + 27935.

It is an arithmetic number, because the mean of its divisors is an integer number (2386800).

Almost surely, 2^76281984 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 76281984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114566400).

76281984 is an abundant number, since it is smaller than the sum of its proper divisors (152850816).

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

76281984 is a wasteful number, since it uses less digits than its factorization.

76281984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2922 (or 2907 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 76281984 is about 8733.9558047886. The cubic root of 76281984 is about 424.1055866150.

The spelling of 76281984 in words is "seventy-six million, two hundred eighty-one thousand, nine hundred eighty-four".