512080000 has 160 divisors (see below), whose sum is σ = 1316812860. Its totient is φ = 198144000.

The previous prime is 512079983. The next prime is 512080007. The reversal of 512080000 is 80215.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 17106496 + 494973504 = 4136^2 + 22248^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (512080007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2959914 + ... + 2960086.

Almost surely, 2^512080000 is an apocalyptic number.

512080000 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 512080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658406430).

512080000 is an abundant number, since it is smaller than the sum of its proper divisors (804732860).

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

512080000 is an equidigital number, since it uses as much as digits as its factorization.

512080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 512080000 is about 22629.1846958745. The cubic root of 512080000 is about 800.0416644967.

The spelling of 512080000 in words is "five hundred twelve million, eighty thousand".