536800880 has 240 divisors, whose sum is σ = 1618289280. Its totient is φ = 163699200.

The previous prime is 536800871. The next prime is 536800937. The reversal of 536800880 is 88008635.

It is a happy number.

It is a congruent number.

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, 2543975 + ... + 2544185.

It is an arithmetic number, because the mean of its divisors is an integer number (6742872).

Almost surely, 2^536800880 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 536800880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809144640).

536800880 is an abundant number, since it is smaller than the sum of its proper divisors (1081488400).

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

536800880 is a wasteful number, since it uses less digits than its factorization.

536800880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 536800880 is about 23168.9637230499. The cubic root of 536800880 is about 812.7139974388.

The spelling of 536800880 in words is "five hundred thirty-six million, eight hundred thousand, eight hundred eighty".