878613774336 has 135 divisors (see below), whose sum is σ = 2539180331233. Its totient is φ = 292751278080.

The previous prime is 878613774211. The next prime is 878613774377. The reversal of 878613774336 is 633477316878.

It is a happy number.

The square root of 878613774336 is 937344.

It is a perfect power (a square), and thus also a powerful number.

878613774336 is a `hidden beast` number, since 8 + 7 + 8 + 613 + 7 + 7 + 4 + 3 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 84946599936 + 793667174400 = 291456^2 + 890880^2 .

It is a super-3 number, since 3×878613774336³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 359938876 + ... + 359941316.

Almost surely, 2^878613774336 is an apocalyptic number.

878613774336 is the 937344-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 878613774336

878613774336 is an abundant number, since it is smaller than the sum of its proper divisors (1660566556897).

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

878613774336 is an frugal number, since it uses more digits than its factorization.

878613774336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4916 (or 2446 counting only the distinct ones).

The product of its digits is 85349376, while the sum is 63.

The spelling of 878613774336 in words is "eight hundred seventy-eight billion, six hundred thirteen million, seven hundred seventy-four thousand, three hundred thirty-six".