827088372 has 144 divisors (see below), whose sum is σ = 2415329280. Its totient is φ = 236174400.

The previous prime is 827088341. The next prime is 827088391. The reversal of 827088372 is 273880728.

827088372 is a `hidden beast` number, since 8 + 270 + 8 + 8 + 372 = 666.

It is a super-2 number, since 2×827088372² = 1368150350195220768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 646029 + ... + 647307.

It is an arithmetic number, because the mean of its divisors is an integer number (16773120).

Almost surely, 2^827088372 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 827088372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207664640).

827088372 is an abundant number, since it is smaller than the sum of its proper divisors (1588240908).

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

827088372 is a wasteful number, since it uses less digits than its factorization.

827088372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 827088372 is about 28759.1441458191. The cubic root of 827088372 is about 938.6794388700.

The spelling of 827088372 in words is "eight hundred twenty-seven million, eighty-eight thousand, three hundred seventy-two".