825027840 has 432 divisors, whose sum is σ = 3517707648. Its totient is φ = 173850624.

The previous prime is 825027821. The next prime is 825027859. The reversal of 825027840 is 48720528.

It is a happy number.

825027840 is a `hidden beast` number, since 82 + 502 + 78 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (825027821) and next prime (825027859).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 825027795 and 825027804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1047927 + ... + 1048713.

Almost surely, 2^825027840 is an apocalyptic number.

825027840 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 825027840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758853824).

825027840 is an abundant number, since it is smaller than the sum of its proper divisors (2692679808).

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

825027840 is a wasteful number, since it uses less digits than its factorization.

825027840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 825027840 is about 28723.2978607959. The cubic root of 825027840 is about 937.8992773919.

The spelling of 825027840 in words is "eight hundred twenty-five million, twenty-seven thousand, eight hundred forty".