825104400 has 120 divisors (see below), whose sum is σ = 2679575520. Its totient is φ = 216990720.

The previous prime is 825104389. The next prime is 825104453. The reversal of 825104400 is 4401528.

825104400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 82891 + ... + 92309.

It is an arithmetic number, because the mean of its divisors is an integer number (22329796).

Almost surely, 2^825104400 is an apocalyptic number.

825104400 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 825104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339787760).

825104400 is an abundant number, since it is smaller than the sum of its proper divisors (1854471120).

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

825104400 is a wasteful number, since it uses less digits than its factorization.

825104400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9513 (or 9502 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 825104400 is about 28724.6305459270. The cubic root of 825104400 is about 937.9282878666.

Adding to 825104400 its reverse (4401528), we get a palindrome (829505928).

The spelling of 825104400 in words is "eight hundred twenty-five million, one hundred four thousand, four hundred".