878766000000 has 1120 divisors, whose sum is σ = 3459628372440. Its totient is φ = 197568000000.

The previous prime is 878765999983. The next prime is 878766000023. The reversal of 878766000000 is 667878.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 14405999970 + ... + 14406000030.

Almost surely, 2^878766000000 is an apocalyptic number.

878766000000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 878766000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729814186220).

878766000000 is an abundant number, since it is smaller than the sum of its proper divisors (2580862372440).

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

878766000000 is an frugal number, since it uses more digits than its factorization.

878766000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

Adding to 878766000000 its reverse (667878), we get a palindrome (878766667878).

The spelling of 878766000000 in words is "eight hundred seventy-eight billion, seven hundred sixty-six million", and thus it is an aban number.