536080000 has 80 divisors (see below), whose sum is σ = 1334736810. Its totient is φ = 214400000.

The previous prime is 536079997. The next prime is 536080009. The reversal of 536080000 is 80635.

It can be written as a sum of positive squares in 5 ways, for example, as 1915456 + 534164544 = 1384^2 + 23112^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (536080009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 76650 + ... + 83350.

Almost surely, 2^536080000 is an apocalyptic number.

536080000 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 536080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667368405).

536080000 is an abundant number, since it is smaller than the sum of its proper divisors (798656810).

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

536080000 is an frugal number, since it uses more digits than its factorization.

536080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6735 (or 6708 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 536080000 is about 23153.4014779686. The cubic root of 536080000 is about 812.3500314926.

The spelling of 536080000 in words is "five hundred thirty-six million, eighty thousand".