76483904 has 84 divisors (see below), whose sum is σ = 182857140. Its totient is φ = 31648512.

The previous prime is 76483889. The next prime is 76483909. The reversal of 76483904 is 40938467.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 13249600 + 63234304 = 3640^2 + 7952^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76483909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2637362 + ... + 2637390.

Almost surely, 2^76483904 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 76483904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91428570).

76483904 is an abundant number, since it is smaller than the sum of its proper divisors (106373236).

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

76483904 is an frugal number, since it uses more digits than its factorization.

76483904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 76483904 is about 8745.5076467864. The cubic root of 76483904 is about 424.4794623627.

The spelling of 76483904 in words is "seventy-six million, four hundred eighty-three thousand, nine hundred four".