532768800 has 72 divisors (see below), whose sum is σ = 1734170256. Its totient is φ = 142071040.

The previous prime is 532768799. The next prime is 532768807. The reversal of 532768800 is 8867235.

It is a hoax number, since the sum of its digits (39) 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 (532768807) 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, 108594 + ... + 113393.

It is an arithmetic number, because the mean of its divisors is an integer number (24085698).

Almost surely, 2^532768800 is an apocalyptic number.

532768800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

532768800 is an abundant number, since it is smaller than the sum of its proper divisors (1201401456).

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

532768800 is a wasteful number, since it uses less digits than its factorization.

532768800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222010 (or 221997 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 532768800 is about 23081.7850262929. The cubic root of 532768800 is about 810.6740312456.

The spelling of 532768800 in words is "five hundred thirty-two million, seven hundred sixty-eight thousand, eight hundred".