827799462 has 144 divisors (see below), whose sum is σ = 2206863360. Its totient is φ = 219614976.

The previous prime is 827799451. The next prime is 827799503. The reversal of 827799462 is 264997728.

It is a junction number, because it is equal to n+sod(n) for n = 827799399 and 827799408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4624489 + ... + 4624667.

It is an arithmetic number, because the mean of its divisors is an integer number (15325440).

Almost surely, 2^827799462 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 827799462, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103431680).

827799462 is an abundant number, since it is smaller than the sum of its proper divisors (1379063898).

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

827799462 is a wasteful number, since it uses less digits than its factorization.

827799462 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 335 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 827799462 is about 28771.5043402322. The cubic root of 827799462 is about 938.9483719875.

The spelling of 827799462 in words is "eight hundred twenty-seven million, seven hundred ninety-nine thousand, four hundred sixty-two".