576838080 has 672 divisors, whose sum is σ = 2556223488. Its totient is φ = 116121600.

The previous prime is 576838069. The next prime is 576838117. The reversal of 576838080 is 80838675.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8124445 + ... + 8124515.

It is an arithmetic number, because the mean of its divisors is an integer number (3803904).

Almost surely, 2^576838080 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 576838080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278111744).

576838080 is an abundant number, since it is smaller than the sum of its proper divisors (1979385408).

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

576838080 is a wasteful number, since it uses less digits than its factorization.

576838080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 576838080 is about 24017.4536535412. The cubic root of 576838080 is about 832.4368699254.

The spelling of 576838080 in words is "five hundred seventy-six million, eight hundred thirty-eight thousand, eighty".