827655360 has 448 divisors, whose sum is σ = 3230392320. Its totient is φ = 175472640.

The previous prime is 827655359. The next prime is 827655407. The reversal of 827655360 is 63556728.

It is a Cunningham number, because it is equal to 28769²-1.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6041212 + ... + 6041348.

Almost surely, 2^827655360 is an apocalyptic number.

827655360 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 827655360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615196160).

827655360 is an abundant number, since it is smaller than the sum of its proper divisors (2402736960).

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

827655360 is a wasteful number, since it uses less digits than its factorization.

827655360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 827655360 is about 28768.9999826202. Note that the first 4 decimals coincide. The cubic root of 827655360 is about 938.8938852845.

It can be divided in two parts, 8276 and 55360, that added together give a palindrome (63636).

The spelling of 827655360 in words is "eight hundred twenty-seven million, six hundred fifty-five thousand, three hundred sixty".