533827800 has 576 divisors, whose sum is σ = 2176944000. Its totient is φ = 119750400.

The previous prime is 533827799. The next prime is 533827837. The reversal of 533827800 is 8728335.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12414579 + ... + 12414621.

Almost surely, 2^533827800 is an apocalyptic number.

533827800 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 533827800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088472000).

533827800 is an abundant number, since it is smaller than the sum of its proper divisors (1643116200).

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

533827800 is a wasteful number, since it uses less digits than its factorization.

533827800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 533827800 is about 23104.7138047629. The cubic root of 533827800 is about 811.2108091764.

The spelling of 533827800 in words is "five hundred thirty-three million, eight hundred twenty-seven thousand, eight hundred".