879727680000 has 600 divisors, whose sum is σ = 3416873928468. Its totient is φ = 216539136000.

The previous prime is 879727679939. The next prime is 879727680001. The reversal of 879727680000 is 86727978.

It can be written as a sum of positive squares in 10 ways, for example, as 88880304384 + 790847375616 = 298128^2 + 889296^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is not an unprimeable number, because it can be changed into a prime (879727680001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 37428252 + ... + 37451748.

Almost surely, 2^879727680000 is an apocalyptic number.

879727680000 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 879727680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708436964234).

879727680000 is an abundant number, since it is smaller than the sum of its proper divisors (2537146248468).

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

879727680000 is a wasteful number, since it uses less digits than its factorization.

879727680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23554 (or 23520 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 879727680000 in words is "eight hundred seventy-nine billion, seven hundred twenty-seven million, six hundred eighty thousand".