825857760 has 576 divisors, whose sum is σ = 3392891712. Its totient is φ = 167215104.

The previous prime is 825857693. The next prime is 825857771. The reversal of 825857760 is 67758528.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11313084 + ... + 11313156.

It is an arithmetic number, because the mean of its divisors is an integer number (5890437).

Almost surely, 2^825857760 is an apocalyptic number.

825857760 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 825857760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696445856).

825857760 is an abundant number, since it is smaller than the sum of its proper divisors (2567033952).

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

825857760 is a wasteful number, since it uses less digits than its factorization.

825857760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 48.

The square root of 825857760 is about 28737.7410385716. The cubic root of 825857760 is about 938.2136589103.

The spelling of 825857760 in words is "eight hundred twenty-five million, eight hundred fifty-seven thousand, seven hundred sixty".