825043320 has 192 divisors, whose sum is σ = 2944861920. Its totient is φ = 207028224.

The previous prime is 825043267. The next prime is 825043339. The reversal of 825043320 is 23340528.

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 47 ways as a sum of consecutive naturals, for example, 162744 + ... + 167736.

Almost surely, 2^825043320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825043320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472430960).

825043320 is an abundant number, since it is smaller than the sum of its proper divisors (2119818600).

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

825043320 is a wasteful number, since it uses less digits than its factorization.

825043320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5036 (or 5020 counting only the distinct ones).

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

The square root of 825043320 is about 28723.5673271967. The cubic root of 825043320 is about 937.9051432910.

Adding to 825043320 its reverse (23340528), we get a palindrome (848383848).

The spelling of 825043320 in words is "eight hundred twenty-five million, forty-three thousand, three hundred twenty".