76443984 has 30 divisors (see below), whose sum is σ = 213937386. Its totient is φ = 25481280.

The previous prime is 76443979. The next prime is 76444001. The reversal of 76443984 is 48934467.

It can be written as a sum of positive squares in only one way, i.e., 52707600 + 23736384 = 7260^2 + 4872^2 .

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 265287 + ... + 265574.

Almost surely, 2^76443984 is an apocalyptic number.

It is an amenable number.

76443984 is an abundant number, since it is smaller than the sum of its proper divisors (137493402).

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

76443984 is a wasteful number, since it uses less digits than its factorization.

76443984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530875 (or 530866 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 76443984 is about 8743.2250342765. The cubic root of 76443984 is about 424.4055985899.

It can be divided in two parts, 7644 and 3984, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 76443984 in words is "seventy-six million, four hundred forty-three thousand, nine hundred eighty-four".