825363840 has 384 divisors, whose sum is σ = 3170257920. Its totient is φ = 181923840.

The previous prime is 825363829. The next prime is 825363841. The reversal of 825363840 is 48363528.

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 (825363841) 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, 2916339 + ... + 2916621.

It is an arithmetic number, because the mean of its divisors is an integer number (8255880).

Almost surely, 2^825363840 is an apocalyptic number.

825363840 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 825363840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585128960).

825363840 is an abundant number, since it is smaller than the sum of its proper divisors (2344894080).

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

825363840 is a wasteful number, since it uses less digits than its factorization.

825363840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 825363840 is about 28729.1461759656. The cubic root of 825363840 is about 938.0265827471.

The spelling of 825363840 in words is "eight hundred twenty-five million, three hundred sixty-three thousand, eight hundred forty".