825082800 has 120 divisors (see below), whose sum is σ = 2693091024. Its totient is φ = 215854080.

The previous prime is 825082781. The next prime is 825082813. The reversal of 825082800 is 8280528.

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

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, 57114 + ... + 70086.

Almost surely, 2^825082800 is an apocalyptic number.

825082800 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 825082800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346545512).

825082800 is an abundant number, since it is smaller than the sum of its proper divisors (1868008224).

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

825082800 is a wasteful number, since it uses less digits than its factorization.

825082800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13047 (or 13036 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 825082800 is about 28724.2545595182. The cubic root of 825082800 is about 937.9201032749.

The spelling of 825082800 in words is "eight hundred twenty-five million, eighty-two thousand, eight hundred".