870259777296 has 480 divisors, whose sum is σ = 2850360065280. Its totient is φ = 222797869056.

The previous prime is 870259777291. The next prime is 870259777337. The reversal of 870259777296 is 692777952078.

870259777296 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 870259777296.

It is not an unprimeable number, because it can be changed into a prime (870259777291) 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, 2237171470 + ... + 2237171858.

It is an arithmetic number, because the mean of its divisors is an integer number (5938250136).

Almost surely, 2^870259777296 is an apocalyptic number.

870259777296 is a gapful number since it is divisible by the number (86) 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 870259777296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425180032640).

870259777296 is an abundant number, since it is smaller than the sum of its proper divisors (1980100287984).

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

870259777296 is a wasteful number, since it uses less digits than its factorization.

870259777296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 186701760, while the sum is 69.

The spelling of 870259777296 in words is "eight hundred seventy billion, two hundred fifty-nine million, seven hundred seventy-seven thousand, two hundred ninety-six".