827487360 has 256 divisors, whose sum is σ = 3349843200. Its totient is φ = 189112320.

The previous prime is 827487337. The next prime is 827487391. The reversal of 827487360 is 63784728.

It is a happy number.

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 (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117540 + ... + 124380.

It is an arithmetic number, because the mean of its divisors is an integer number (13085325).

Almost surely, 2^827487360 is an apocalyptic number.

827487360 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 827487360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674921600).

827487360 is an abundant number, since it is smaller than the sum of its proper divisors (2522355840).

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

827487360 is a wasteful number, since it uses less digits than its factorization.

827487360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6876 (or 6858 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 827487360 is about 28766.0800249182. The cubic root of 827487360 is about 938.8303544745.

The spelling of 827487360 in words is "eight hundred twenty-seven million, four hundred eighty-seven thousand, three hundred sixty".