575770680 has 320 divisors, whose sum is σ = 2090880000. Its totient is φ = 141647616.

The previous prime is 575770649. The next prime is 575770687. The reversal of 575770680 is 86077575.

575770680 is a `hidden beast` number, since 575 + 7 + 70 + 6 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (575770687) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2893221 + ... + 2893419.

It is an arithmetic number, because the mean of its divisors is an integer number (6534000).

Almost surely, 2^575770680 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 575770680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045440000).

575770680 is an abundant number, since it is smaller than the sum of its proper divisors (1515109320).

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

575770680 is a wasteful number, since it uses less digits than its factorization.

575770680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The square root of 575770680 is about 23995.2220243948. Note that the first 3 decimals coincide. The cubic root of 575770680 is about 831.9230967812.

The spelling of 575770680 in words is "five hundred seventy-five million, seven hundred seventy thousand, six hundred eighty".