76444564 has 24 divisors (see below), whose sum is σ = 155046528. Its totient is φ = 32299680.

The previous prime is 76444561. The next prime is 76444567. The reversal of 76444564 is 46544467.

76444564 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (76444561) and next prime (76444567).

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

76444564 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76444561) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 17239 + ... + 21214.

It is an arithmetic number, because the mean of its divisors is an integer number (6460272).

Almost surely, 2^76444564 is an apocalyptic number.

It is an amenable number.

76444564 is an abundant number, since it is smaller than the sum of its proper divisors (78601964).

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

76444564 is a wasteful number, since it uses less digits than its factorization.

76444564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38535 (or 38533 counting only the distinct ones).

The product of its digits is 322560, while the sum is 40.

The square root of 76444564 is about 8743.2582027526. The cubic root of 76444564 is about 424.4066719450.

The spelling of 76444564 in words is "seventy-six million, four hundred forty-four thousand, five hundred sixty-four".