825827400 has 240 divisors, whose sum is σ = 3020305200. Its totient is φ = 208552320.

The previous prime is 825827393. The next prime is 825827413. The reversal of 825827400 is 4728528.

It is a happy number.

825827400 is a `hidden beast` number, since 8 + 2 + 582 + 74 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 306459 + ... + 309141.

It is an arithmetic number, because the mean of its divisors is an integer number (12584605).

Almost surely, 2^825827400 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 825827400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510152600).

825827400 is an abundant number, since it is smaller than the sum of its proper divisors (2194477800).

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

825827400 is a wasteful number, since it uses less digits than its factorization.

825827400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2730 (or 2712 counting only the distinct ones).

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

The square root of 825827400 is about 28737.2128084823. The cubic root of 825827400 is about 938.2021619685.

The spelling of 825827400 in words is "eight hundred twenty-five million, eight hundred twenty-seven thousand, four hundred".