825604400 has 120 divisors (see below), whose sum is σ = 2066534400. Its totient is φ = 316627200.

The previous prime is 825604379. The next prime is 825604433. The reversal of 825604400 is 4406528.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1723361 + ... + 1723839.

It is an arithmetic number, because the mean of its divisors is an integer number (17221120).

Almost surely, 2^825604400 is an apocalyptic number.

825604400 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 825604400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033267200).

825604400 is an abundant number, since it is smaller than the sum of its proper divisors (1240930000).

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

825604400 is a wasteful number, since it uses less digits than its factorization.

825604400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 825604400 is about 28733.3325599381. The cubic root of 825604400 is about 938.1177060976.

The spelling of 825604400 in words is "eight hundred twenty-five million, six hundred four thousand, four hundred".