827349120 has 512 divisors, whose sum is σ = 3290112000. Its totient is φ = 195084288.

The previous prime is 827349101. The next prime is 827349137. The reversal of 827349120 is 21943728.

827349120 is a `hidden beast` number, since 82 + 73 + 491 + 20 = 666.

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

It is a congruent number.

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, 6514497 + ... + 6514623.

It is an arithmetic number, because the mean of its divisors is an integer number (6426000).

Almost surely, 2^827349120 is an apocalyptic number.

827349120 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 827349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645056000).

827349120 is an abundant number, since it is smaller than the sum of its proper divisors (2462762880).

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

827349120 is a wasteful number, since it uses less digits than its factorization.

827349120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 827349120 is about 28763.6770945580. The cubic root of 827349120 is about 938.7780712444.

The spelling of 827349120 in words is "eight hundred twenty-seven million, three hundred forty-nine thousand, one hundred twenty".