827901360 has 720 divisors, whose sum is σ = 3565834272. Its totient is φ = 170311680.

The previous prime is 827901341. The next prime is 827901413. The reversal of 827901360 is 63109728.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 19253499 + ... + 19253541.

Almost surely, 2^827901360 is an apocalyptic number.

827901360 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 827901360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782917136).

827901360 is an abundant number, since it is smaller than the sum of its proper divisors (2737932912).

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

827901360 is a wasteful number, since it uses less digits than its factorization.

827901360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 827901360 is about 28773.2751003427. The cubic root of 827901360 is about 938.9868970329.

The spelling of 827901360 in words is "eight hundred twenty-seven million, nine hundred one thousand, three hundred sixty".