825273120 has 384 divisors, whose sum is σ = 3170119680. Its totient is φ = 176394240.

The previous prime is 825273089. The next prime is 825273181. The reversal of 825273120 is 21372528.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4559430 + ... + 4559610.

It is an arithmetic number, because the mean of its divisors is an integer number (8255520).

Almost surely, 2^825273120 is an apocalyptic number.

825273120 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 825273120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585059840).

825273120 is an abundant number, since it is smaller than the sum of its proper divisors (2344846560).

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

825273120 is a wasteful number, since it uses less digits than its factorization.

825273120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 825273120 is about 28727.5672482026. The cubic root of 825273120 is about 937.9922137066.

The spelling of 825273120 in words is "eight hundred twenty-five million, two hundred seventy-three thousand, one hundred twenty".