76664448 has 128 divisors (see below), whose sum is σ = 258672000. Its totient is φ = 21897216.

The previous prime is 76664437. The next prime is 76664453. The reversal of 76664448 is 84446667.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22608 + ... + 25776.

It is an arithmetic number, because the mean of its divisors is an integer number (2020875).

Almost surely, 2^76664448 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 76664448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129336000).

76664448 is an abundant number, since it is smaller than the sum of its proper divisors (182007552).

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

76664448 is a wasteful number, since it uses less digits than its factorization.

76664448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3199 (or 3181 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 76664448 is about 8755.8236619978. The cubic root of 76664448 is about 424.8132014155.

The spelling of 76664448 in words is "seventy-six million, six hundred sixty-four thousand, four hundred forty-eight".