76480384 has 32 divisors (see below), whose sum is σ = 153869040. Its totient is φ = 37862400.

The previous prime is 76480351. The next prime is 76480423. The reversal of 76480384 is 48308467.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10284 + ... + 16084.

Almost surely, 2^76480384 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 76480384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76934520).

76480384 is an abundant number, since it is smaller than the sum of its proper divisors (77388656).

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

76480384 is a wasteful number, since it uses less digits than its factorization.

76480384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5918 (or 5906 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 76480384 is about 8745.3063982916. The cubic root of 76480384 is about 424.4729503580.

The spelling of 76480384 in words is "seventy-six million, four hundred eighty thousand, three hundred eighty-four".