532764800 has 96 divisors (see below), whose sum is σ = 1361715300. Its totient is φ = 205721600.

The previous prime is 532764781. The next prime is 532764803. The reversal of 532764800 is 8467235.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 198021184 + 334743616 = 14072^2 + 18296^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (532764803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89930 + ... + 95670.

Almost surely, 2^532764800 is an apocalyptic number.

532764800 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 532764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680857650).

532764800 is an abundant number, since it is smaller than the sum of its proper divisors (828950500).

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

532764800 is a wasteful number, since it uses less digits than its factorization.

532764800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5794 (or 5777 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 532764800 is about 23081.6983777191. The cubic root of 532764800 is about 810.6720024079.

The spelling of 532764800 in words is "five hundred thirty-two million, seven hundred sixty-four thousand, eight hundred".