76538484 has 72 divisors (see below), whose sum is σ = 212048928. Its totient is φ = 23085120.

The previous prime is 76538461. The next prime is 76538509. The reversal of 76538484 is 48483567.

76538484 is a `hidden beast` number, since 76 + 538 + 48 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137134 + ... + 137690.

It is an arithmetic number, because the mean of its divisors is an integer number (2945124).

Almost surely, 2^76538484 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 76538484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106024464).

76538484 is an abundant number, since it is smaller than the sum of its proper divisors (135510444).

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

76538484 is a wasteful number, since it uses less digits than its factorization.

76538484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 920 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 76538484 is about 8748.6275495074. The cubic root of 76538484 is about 424.5804098780.

The spelling of 76538484 in words is "seventy-six million, five hundred thirty-eight thousand, four hundred eighty-four".