76538756 has 48 divisors (see below), whose sum is σ = 160962816. Its totient is φ = 31135104.

The previous prime is 76538747. The next prime is 76538797. The reversal of 76538756 is 65783567.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 76538756.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100730 + ... + 101486.

It is an arithmetic number, because the mean of its divisors is an integer number (3353392).

Almost surely, 2^76538756 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 76538756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80481408).

76538756 is an abundant number, since it is smaller than the sum of its proper divisors (84424060).

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

76538756 is a wasteful number, since it uses less digits than its factorization.

76538756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 946 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 47.

The square root of 76538756 is about 8748.6430947890. The cubic root of 76538756 is about 424.5809128308.

The spelling of 76538756 in words is "seventy-six million, five hundred thirty-eight thousand, seven hundred fifty-six".