534796800 has 240 divisors, whose sum is σ = 1862187360. Its totient is φ = 134922240.

The previous prime is 534796799. The next prime is 534796831. The reversal of 534796800 is 8697435.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 729234 + ... + 729966.

It is an arithmetic number, because the mean of its divisors is an integer number (7759114).

Almost surely, 2^534796800 is an apocalyptic number.

534796800 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 534796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931093680).

534796800 is an abundant number, since it is smaller than the sum of its proper divisors (1327390560).

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

534796800 is a wasteful number, since it uses less digits than its factorization.

534796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 534796800 is about 23125.6740442306. The cubic root of 534796800 is about 811.7013469706.

The spelling of 534796800 in words is "five hundred thirty-four million, seven hundred ninety-six thousand, eight hundred".