827878968 has 160 divisors (see below), whose sum is σ = 2665000800. Its totient is φ = 235208448.

The previous prime is 827878949. The next prime is 827878993. The reversal of 827878968 is 869878728.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1038346 + ... + 1039142.

It is an arithmetic number, because the mean of its divisors is an integer number (16656255).

Almost surely, 2^827878968 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 827878968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332500400).

827878968 is an abundant number, since it is smaller than the sum of its proper divisors (1837121832).

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

827878968 is a wasteful number, since it uses less digits than its factorization.

827878968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051 (or 1038 counting only the distinct ones).

The product of its digits is 21676032, while the sum is 63.

The square root of 827878968 is about 28772.8859866368. The cubic root of 827878968 is about 938.9784314575.

The spelling of 827878968 in words is "eight hundred twenty-seven million, eight hundred seventy-eight thousand, nine hundred sixty-eight".