575757000 has 768 divisors, whose sum is σ = 2589350400. Its totient is φ = 111974400.

The previous prime is 575756947. The next prime is 575757011. The reversal of 575757000 is 757575.

It is a super-2 number, since 2×575757000² = 662992246098000000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15560982 + ... + 15561018.

It is an arithmetic number, because the mean of its divisors is an integer number (3371550).

Almost surely, 2^575757000 is an apocalyptic number.

575757000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 575757000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294675200).

575757000 is an abundant number, since it is smaller than the sum of its proper divisors (2013593400).

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

575757000 is a wasteful number, since it uses less digits than its factorization.

575757000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 42875, while the sum is 36.

The square root of 575757000 is about 23994.9369659518. The cubic root of 575757000 is about 831.9165080481.

The spelling of 575757000 in words is "five hundred seventy-five million, seven hundred fifty-seven thousand".