825740160 has 384 divisors, whose sum is σ = 3131187840. Its totient is φ = 184504320.

The previous prime is 825740081. The next prime is 825740161. The reversal of 825740160 is 61047528.

825740160 is digitally balanced in base 6, 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 (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825740161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6303295 + ... + 6303425.

It is an arithmetic number, because the mean of its divisors is an integer number (8154135).

Almost surely, 2^825740160 is an apocalyptic number.

825740160 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 825740160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565593920).

825740160 is an abundant number, since it is smaller than the sum of its proper divisors (2305447680).

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

825740160 is a wasteful number, since it uses less digits than its factorization.

825740160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 825740160 is about 28735.6948758856. The cubic root of 825740160 is about 938.1691237336.

Adding to 825740160 its reverse (61047528), we get a palindrome (886787688).

The spelling of 825740160 in words is "eight hundred twenty-five million, seven hundred forty thousand, one hundred sixty".