825903900 has 108 divisors (see below), whose sum is σ = 2612810200. Its totient is φ = 218194560.

The previous prime is 825903851. The next prime is 825903919. The reversal of 825903900 is 9309528.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 93891 + ... + 102309.

Almost surely, 2^825903900 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 825903900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306405100).

825903900 is an abundant number, since it is smaller than the sum of its proper divisors (1786906300).

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

825903900 is a wasteful number, since it uses less digits than its factorization.

825903900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8548 (or 8538 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 825903900 is about 28738.5438044449. The cubic root of 825903900 is about 938.2311309957.

The spelling of 825903900 in words is "eight hundred twenty-five million, nine hundred three thousand, nine hundred".