825056800 has 72 divisors (see below), whose sum is σ = 2057118336. Its totient is φ = 322986240.

The previous prime is 825056761. The next prime is 825056809. The reversal of 825056800 is 8650528.

It is not an unprimeable number, because it can be changed into a prime (825056809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26629 + ... + 48571.

It is an arithmetic number, because the mean of its divisors is an integer number (28571088).

Almost surely, 2^825056800 is an apocalyptic number.

825056800 is a gapful number since it is divisible by the number (80) 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 825056800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028559168).

825056800 is an abundant number, since it is smaller than the sum of its proper divisors (1232061536).

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

825056800 is a wasteful number, since it uses less digits than its factorization.

825056800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22010 (or 21997 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 825056800 is about 28723.8019767579. The cubic root of 825056800 is about 937.9102512621.

The spelling of 825056800 in words is "eight hundred twenty-five million, fifty-six thousand, eight hundred".