825788160 has 216 divisors, whose sum is σ = 2890502160. Its totient is φ = 217645056.

The previous prime is 825788143. The next prime is 825788179. The reversal of 825788160 is 61887528.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 1117071 + ... + 1117809.

Almost surely, 2^825788160 is an apocalyptic number.

825788160 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 825788160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445251080).

825788160 is an abundant number, since it is smaller than the sum of its proper divisors (2064714000).

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

825788160 is a wasteful number, since it uses less digits than its factorization.

825788160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 825788160 is about 28736.5300619264. The cubic root of 825788160 is about 938.1873018674.

The spelling of 825788160 in words is "eight hundred twenty-five million, seven hundred eighty-eight thousand, one hundred sixty".