533080080 has 240 divisors, whose sum is σ = 1945135920. Its totient is φ = 130830336.

The previous prime is 533080069. The next prime is 533080111. The reversal of 533080080 is 80080335.

It can be written as a sum of positive squares in 8 ways, for example, as 451647504 + 81432576 = 21252^2 + 9024^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1581672 + ... + 1582008.

It is an arithmetic number, because the mean of its divisors is an integer number (8104733).

Almost surely, 2^533080080 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 533080080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972567960).

533080080 is an abundant number, since it is smaller than the sum of its proper divisors (1412055840).

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

533080080 is a wasteful number, since it uses less digits than its factorization.

533080080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 533080080 is about 23088.5270210120. The cubic root of 533080080 is about 810.8318842595.

The spelling of 533080080 in words is "five hundred thirty-three million, eighty thousand, eighty".