534340800 has 840 divisors, whose sum is σ = 2439050240. Its totient is φ = 111974400.

The previous prime is 534340759. The next prime is 534340843. The reversal of 534340800 is 8043435.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 17236785 + ... + 17236815.

Almost surely, 2^534340800 is an apocalyptic number.

534340800 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 534340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219525120).

534340800 is an abundant number, since it is smaller than the sum of its proper divisors (1904709440).

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

534340800 is a wasteful number, since it uses less digits than its factorization.

534340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 534340800 is about 23115.8127696173. The cubic root of 534340800 is about 811.4705795314.

The spelling of 534340800 in words is "five hundred thirty-four million, three hundred forty thousand, eight hundred".