76038312 has 64 divisors (see below), whose sum is σ = 217958400. Its totient is φ = 21654720.

The previous prime is 76038311. The next prime is 76038337. The reversal of 76038312 is 21383067.

It is a self number, because there is not a number n which added to its sum of digits gives 76038312.

It is not an unprimeable number, because it can be changed into a prime (76038311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73237 + ... + 74267.

It is an arithmetic number, because the mean of its divisors is an integer number (3405600).

Almost surely, 2^76038312 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 76038312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108979200).

76038312 is an abundant number, since it is smaller than the sum of its proper divisors (141920088).

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

76038312 is a wasteful number, since it uses less digits than its factorization.

76038312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 76038312 is about 8719.9949541270. The cubic root of 76038312 is about 423.6535231674.

The spelling of 76038312 in words is "seventy-six million, thirty-eight thousand, three hundred twelve".