77133984 has 24 divisors (see below), whose sum is σ = 202476960. Its totient is φ = 25711296.

The previous prime is 77133967. The next prime is 77133989. The reversal of 77133984 is 48933177.

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (77133989) 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 3 ways as a sum of consecutive naturals, for example, 401644 + ... + 401835.

It is an arithmetic number, because the mean of its divisors is an integer number (8436540).

Almost surely, 2^77133984 is an apocalyptic number.

It is an amenable number.

77133984 is an abundant number, since it is smaller than the sum of its proper divisors (125342976).

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

77133984 is a wasteful number, since it uses less digits than its factorization.

77133984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803492 (or 803484 counting only the distinct ones).

The product of its digits is 127008, while the sum is 42.

The square root of 77133984 is about 8782.5955161330. The cubic root of 77133984 is about 425.6787015028.

The spelling of 77133984 in words is "seventy-seven million, one hundred thirty-three thousand, nine hundred eighty-four".