870723904960 has 448 divisors, whose sum is σ = 2650392057600. Its totient is φ = 265009102848.

The previous prime is 870723904913. The next prime is 870723904969. The reversal of 870723904960 is 69409327078.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×870723904960² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (870723904969) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 227163204 + ... + 227167036.

It is an arithmetic number, because the mean of its divisors is an integer number (5916053700).

Almost surely, 2^870723904960 is an apocalyptic number.

870723904960 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 870723904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325196028800).

870723904960 is an abundant number, since it is smaller than the sum of its proper divisors (1779668152640).

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

870723904960 is a wasteful number, since it uses less digits than its factorization.

870723904960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4168 (or 4158 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 55.

The spelling of 870723904960 in words is "eight hundred seventy billion, seven hundred twenty-three million, nine hundred four thousand, nine hundred sixty".