76460384 has 216 divisors, whose sum is σ = 213966144. Its totient is φ = 26611200.

The previous prime is 76460357. The next prime is 76460429. The reversal of 76460384 is 48306467.

It is a happy number.

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 35 ways as a sum of consecutive naturals, for example, 2466449 + ... + 2466479.

It is an arithmetic number, because the mean of its divisors is an integer number (990584).

Almost surely, 2^76460384 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 76460384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106983072).

76460384 is an abundant number, since it is smaller than the sum of its proper divisors (137505760).

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

76460384 is a wasteful number, since it uses less digits than its factorization.

76460384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The square root of 76460384 is about 8744.1628530123. The cubic root of 76460384 is about 424.4359465378.

The spelling of 76460384 in words is "seventy-six million, four hundred sixty thousand, three hundred eighty-four".