825862400 has 108 divisors (see below), whose sum is σ = 2230159344. Its totient is φ = 300288000.

The previous prime is 825862393. The next prime is 825862409. The reversal of 825862400 is 4268528.

It is not an unprimeable number, because it can be changed into a prime (825862409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64535 + ... + 76265.

Almost surely, 2^825862400 is an apocalyptic number.

825862400 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 825862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115079672).

825862400 is an abundant number, since it is smaller than the sum of its proper divisors (1404296944).

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

825862400 is a wasteful number, since it uses less digits than its factorization.

825862400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11768 (or 11749 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The square root of 825862400 is about 28737.8217685335. The cubic root of 825862400 is about 938.2154159938.

The spelling of 825862400 in words is "eight hundred twenty-five million, eight hundred sixty-two thousand, four hundred".