825760000 has 180 divisors, whose sum is σ = 2223735052. Its totient is φ = 304128000.

The previous prime is 825759997. The next prime is 825760027. The reversal of 825760000 is 67528.

It can be written as a sum of positive squares in 10 ways, for example, as 704583936 + 121176064 = 26544^2 + 11008^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2079802 + ... + 2080198.

Almost surely, 2^825760000 is an apocalyptic number.

825760000 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 825760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111867526).

825760000 is an abundant number, since it is smaller than the sum of its proper divisors (1397975052).

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

825760000 is an equidigital number, since it uses as much as digits as its factorization.

825760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 825760000 is about 28736.0400890589. The cubic root of 825760000 is about 938.1766374477.

The spelling of 825760000 in words is "eight hundred twenty-five million, seven hundred sixty thousand".