825738840 has 128 divisors (see below), whose sum is σ = 2767564800. Its totient is φ = 218989440.

The previous prime is 825738839. The next prime is 825738869. The reversal of 825738840 is 48837528.

825738840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204279 + ... + 208281.

It is an arithmetic number, because the mean of its divisors is an integer number (21621600).

Almost surely, 2^825738840 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 825738840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383782400).

825738840 is an abundant number, since it is smaller than the sum of its proper divisors (1941825960).

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

825738840 is a wasteful number, since it uses less digits than its factorization.

825738840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4214 (or 4204 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 825738840 is about 28735.6719079266. The cubic root of 825738840 is about 938.1686238250.

The spelling of 825738840 in words is "eight hundred twenty-five million, seven hundred thirty-eight thousand, eight hundred forty".