827610078834 has 128 divisors (see below), whose sum is σ = 2296360488960. Its totient is φ = 214643520000.

The previous prime is 827610078833. The next prime is 827610078881. The reversal of 827610078834 is 438870016728.

It is a happy number.

827610078834 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (827610078833) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2650459 + ... + 2946209.

It is an arithmetic number, because the mean of its divisors is an integer number (17940316320).

Almost surely, 2^827610078834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 827610078834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148180244480).

827610078834 is an abundant number, since it is smaller than the sum of its proper divisors (1468750410126).

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

827610078834 is a wasteful number, since it uses less digits than its factorization.

827610078834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296453 (or 296447 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 827610078834 in words is "eight hundred twenty-seven billion, six hundred ten million, seventy-eight thousand, eight hundred thirty-four".