870078882816 has 1056 divisors, whose sum is σ = 3141696297600. Its totient is φ = 234499276800.

The previous prime is 870078882791. The next prime is 870078882817. The reversal of 870078882816 is 618288870078.

It is a tau number, because it is divible by the number of its divisors (1056).

It is not an unprimeable number, because it can be changed into a prime (870078882817) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3799470990 + ... + 3799471218.

Almost surely, 2^870078882816 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 870078882816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570848148800).

870078882816 is an abundant number, since it is smaller than the sum of its proper divisors (2271617414784).

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

870078882816 is a wasteful number, since it uses less digits than its factorization.

870078882816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 19267584, while the sum is 63.

The spelling of 870078882816 in words is "eight hundred seventy billion, seventy-eight million, eight hundred eighty-two thousand, eight hundred sixteen".