76164712 has 32 divisors (see below), whose sum is σ = 155179080. Its totient is φ = 34836480.

The previous prime is 76164703. The next prime is 76164719. The reversal of 76164712 is 21746167.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 49477156 + 26687556 = 7034^2 + 5166^2 .

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (76164719) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 8512 + ... + 14992.

Almost surely, 2^76164712 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 76164712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77589540).

76164712 is an abundant number, since it is smaller than the sum of its proper divisors (79014368).

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

76164712 is a wasteful number, since it uses less digits than its factorization.

76164712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6613 (or 6609 counting only the distinct ones).

The product of its digits is 14112, while the sum is 34.

The square root of 76164712 is about 8727.2396552404. The cubic root of 76164712 is about 423.8881424402. Note that the first 3 decimals are identical.

The spelling of 76164712 in words is "seventy-six million, one hundred sixty-four thousand, seven hundred twelve".