827089380 has 432 divisors, whose sum is σ = 3021520320. Its totient is φ = 189236736.

The previous prime is 827089313. The next prime is 827089397. The reversal of 827089380 is 83980728.

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 143 ways as a sum of consecutive naturals, for example, 15605434 + ... + 15605486.

It is an arithmetic number, because the mean of its divisors is an integer number (6994260).

Almost surely, 2^827089380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 827089380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510760160).

827089380 is an abundant number, since it is smaller than the sum of its proper divisors (2194430940).

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

827089380 is a wasteful number, since it uses less digits than its factorization.

827089380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 827089380 is about 28759.1616706746. The cubic root of 827089380 is about 938.6798202031.

The spelling of 827089380 in words is "eight hundred twenty-seven million, eighty-nine thousand, three hundred eighty".