76484000 has 48 divisors (see below), whose sum is σ = 187931016. Its totient is φ = 30592000.

The previous prime is 76483999. The next prime is 76484011. The reversal of 76484000 is 48467.

It can be written as a sum of positive squares in 4 ways, for example, as 38093584 + 38390416 = 6172^2 + 6196^2 .

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, 5561 + ... + 13560.

Almost surely, 2^76484000 is an apocalyptic number.

It is an amenable number.

76484000 is an abundant number, since it is smaller than the sum of its proper divisors (111447016).

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

76484000 is a wasteful number, since it uses less digits than its factorization.

76484000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19146 (or 19128 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 76484000 is about 8745.5131353169. The cubic root of 76484000 is about 424.4796399600.

The spelling of 76484000 in words is "seventy-six million, four hundred eighty-four thousand".