825746000 has 160 divisors (see below), whose sum is σ = 2158790400. Its totient is φ = 304550400.

The previous prime is 825745993. The next prime is 825746011. The reversal of 825746000 is 647528.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1333691 + ... + 1334309.

It is an arithmetic number, because the mean of its divisors is an integer number (13492440).

Almost surely, 2^825746000 is an apocalyptic number.

825746000 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 825746000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079395200).

825746000 is an abundant number, since it is smaller than the sum of its proper divisors (1333044400).

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

825746000 is a wasteful number, since it uses less digits than its factorization.

825746000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 825746000 is about 28735.7964914843. The cubic root of 825746000 is about 938.1713354442.

The spelling of 825746000 in words is "eight hundred twenty-five million, seven hundred forty-six thousand".