825939900 has 216 divisors, whose sum is σ = 2817163440. Its totient is φ = 201553920.

The previous prime is 825939893. The next prime is 825939901. The reversal of 825939900 is 9939528.

825939900 is a `hidden beast` number, since 8 + 259 + 399 + 0 + 0 = 666.

825939900 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×825939900⁴ (a number of 37 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825939901) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 565371 + ... + 566829.

Almost surely, 2^825939900 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 825939900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408581720).

825939900 is an abundant number, since it is smaller than the sum of its proper divisors (1991223540).

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

825939900 is a wasteful number, since it uses less digits than its factorization.

825939900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 825939900 is about 28739.1701341566. The cubic root of 825939900 is about 938.2447628602.

The spelling of 825939900 in words is "eight hundred twenty-five million, nine hundred thirty-nine thousand, nine hundred".