825871680 has 224 divisors, whose sum is σ = 2963143680. Its totient is φ = 216483840.

The previous prime is 825871633. The next prime is 825871721. The reversal of 825871680 is 86178528.

825871680 is a `hidden beast` number, since 8 + 2 + 587 + 1 + 68 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 526257 + ... + 527823.

It is an arithmetic number, because the mean of its divisors is an integer number (13228320).

Almost surely, 2^825871680 is an apocalyptic number.

825871680 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 825871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481571840).

825871680 is an abundant number, since it is smaller than the sum of its proper divisors (2137272000).

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

825871680 is a wasteful number, since it uses less digits than its factorization.

825871680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 1638 counting only the distinct ones).

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

The square root of 825871680 is about 28737.9832277771. The cubic root of 825871680 is about 938.2189301412.

The spelling of 825871680 in words is "eight hundred twenty-five million, eight hundred seventy-one thousand, six hundred eighty".