825430000 has 100 divisors (see below), whose sum is σ = 2013386760. Its totient is φ = 327712000.

The previous prime is 825429991. The next prime is 825430007. The reversal of 825430000 is 34528.

825430000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825430007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1969791 + ... + 1970209.

Almost surely, 2^825430000 is an apocalyptic number.

825430000 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 825430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1006693380).

825430000 is an abundant number, since it is smaller than the sum of its proper divisors (1187956760).

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

825430000 is a wasteful number, since it uses less digits than its factorization.

825430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 825430000 is about 28730.2975967880. The cubic root of 825430000 is about 938.0516457062.

Adding to 825430000 its reverse (34528), we get a palindrome (825464528).

The spelling of 825430000 in words is "eight hundred twenty-five million, four hundred thirty thousand".