827863680 has 256 divisors, whose sum is σ = 3114639360. Its totient is φ = 183029760.

The previous prime is 827863643. The next prime is 827863709. The reversal of 827863680 is 86368728.

It is a happy number.

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

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, 415647 + ... + 417633.

It is an arithmetic number, because the mean of its divisors is an integer number (12166560).

Almost surely, 2^827863680 is an apocalyptic number.

827863680 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 827863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557319680).

827863680 is an abundant number, since it is smaller than the sum of its proper divisors (2286775680).

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

827863680 is a wasteful number, since it uses less digits than its factorization.

827863680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2047 (or 2035 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 827863680 is about 28772.6203186293. The cubic root of 827863680 is about 938.9726515504.

The spelling of 827863680 in words is "eight hundred twenty-seven million, eight hundred sixty-three thousand, six hundred eighty".