76571264 has 128 divisors (see below), whose sum is σ = 201813120. Its totient is φ = 28016640.

The previous prime is 76571263. The next prime is 76571269. The reversal of 76571264 is 46217567.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (76571263) 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, 167324 + ... + 167780.

It is an arithmetic number, because the mean of its divisors is an integer number (1576665).

Almost surely, 2^76571264 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 76571264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100906560).

76571264 is an abundant number, since it is smaller than the sum of its proper divisors (125241856).

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

76571264 is a wasteful number, since it uses less digits than its factorization.

76571264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 494 counting only the distinct ones).

The product of its digits is 70560, while the sum is 38.

The square root of 76571264 is about 8750.5007856694. The cubic root of 76571264 is about 424.6410145075.

The spelling of 76571264 in words is "seventy-six million, five hundred seventy-one thousand, two hundred sixty-four".