512820000 has 720 divisors, whose sum is σ = 2333403072. Its totient is φ = 103680000.

The previous prime is 512819999. The next prime is 512820001. The reversal of 512820000 is 28215.

It is an interprime number because it is at equal distance from previous prime (512819999) and next prime (512820001).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (512820001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13859982 + ... + 13860018.

Almost surely, 2^512820000 is an apocalyptic number.

512820000 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 512820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166701536).

512820000 is an abundant number, since it is smaller than the sum of its proper divisors (1820583072).

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

512820000 is a wasteful number, since it uses less digits than its factorization.

512820000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 512820000 is about 22645.5293601187. The cubic root of 512820000 is about 800.4268555358.

Adding to 512820000 its reverse (28215), we get a palindrome (512848215).

The spelling of 512820000 in words is "five hundred twelve million, eight hundred twenty thousand".