576640080 has 160 divisors (see below), whose sum is σ = 1996300800. Its totient is φ = 152990208.

The previous prime is 576640069. The next prime is 576640081. The reversal of 576640080 is 80046675.

It is a happy number.

576640080 is a `hidden beast` number, since 5 + 7 + 6 + 640 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (576640081) 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 31 ways as a sum of consecutive naturals, for example, 515682 + ... + 516798.

It is an arithmetic number, because the mean of its divisors is an integer number (12476880).

Almost surely, 2^576640080 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 576640080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998150400).

576640080 is an abundant number, since it is smaller than the sum of its proper divisors (1419660720).

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

576640080 is a wasteful number, since it uses less digits than its factorization.

576640080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 576640080 is about 24013.3312974273. The cubic root of 576640080 is about 832.3416142156.

The spelling of 576640080 in words is "five hundred seventy-six million, six hundred forty thousand, eighty".