825756120 has 320 divisors, whose sum is σ = 3311953920. Its totient is φ = 180423936.

The previous prime is 825756119. The next prime is 825756137. The reversal of 825756120 is 21657528.

It is a happy number.

825756120 is a `hidden beast` number, since 8 + 2 + 575 + 61 + 20 = 666.

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 79 ways as a sum of consecutive naturals, for example, 520849 + ... + 522431.

It is an arithmetic number, because the mean of its divisors is an integer number (10349856).

Almost surely, 2^825756120 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 825756120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655976960).

825756120 is an abundant number, since it is smaller than the sum of its proper divisors (2486197800).

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

825756120 is a wasteful number, since it uses less digits than its factorization.

825756120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1636 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 825756120 is about 28735.9725779379. The cubic root of 825756120 is about 938.1751680413.

The spelling of 825756120 in words is "eight hundred twenty-five million, seven hundred fifty-six thousand, one hundred twenty".