827873718 has 64 divisors (see below), whose sum is σ = 2044569600. Its totient is φ = 222612096.

The previous prime is 827873687. The next prime is 827873737. The reversal of 827873718 is 817378728.

827873718 is digitally balanced in base 2, because in such base 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 (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23155 + ... + 46817.

It is an arithmetic number, because the mean of its divisors is an integer number (31946400).

Almost surely, 2^827873718 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 827873718, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022284800).

827873718 is an abundant number, since it is smaller than the sum of its proper divisors (1216695882).

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

827873718 is a wasteful number, since it uses less digits than its factorization.

827873718 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23706 (or 23692 counting only the distinct ones).

The product of its digits is 1053696, while the sum is 51.

The square root of 827873718 is about 28772.7947547679. The cubic root of 827873718 is about 938.9764466074.

The spelling of 827873718 in words is "eight hundred twenty-seven million, eight hundred seventy-three thousand, seven hundred eighteen".