825078436 has 48 divisors (see below), whose sum is σ = 1806273280. Its totient is φ = 321045120.

The previous prime is 825078413. The next prime is 825078451. The reversal of 825078436 is 634870528.

It is a junction number, because it is equal to n+sod(n) for n = 825078392 and 825078401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3625 + ... + 40783.

Almost surely, 2^825078436 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 825078436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903136640).

825078436 is an abundant number, since it is smaller than the sum of its proper divisors (981194844).

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

825078436 is a wasteful number, since it uses less digits than its factorization.

825078436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37244 (or 37242 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The square root of 825078436 is about 28724.1785957406. The cubic root of 825078436 is about 937.9184496669.

The spelling of 825078436 in words is "eight hundred twenty-five million, seventy-eight thousand, four hundred thirty-six".