827422860 has 192 divisors, whose sum is σ = 2681892864. Its totient is φ = 188697600.

The previous prime is 827422847. The next prime is 827422879. The reversal of 827422860 is 68224728.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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 63 ways as a sum of consecutive naturals, for example, 756474 + ... + 757566.

It is an arithmetic number, because the mean of its divisors is an integer number (13968192).

Almost surely, 2^827422860 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 827422860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340946432).

827422860 is an abundant number, since it is smaller than the sum of its proper divisors (1854470004).

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

827422860 is a wasteful number, since it uses less digits than its factorization.

827422860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 827422860 is about 28764.9588909840. The cubic root of 827422860 is about 938.8059608969.

The spelling of 827422860 in words is "eight hundred twenty-seven million, four hundred twenty-two thousand, eight hundred sixty".