879296000000 has 364 divisors, whose sum is σ = 2399676315000. Its totient is φ = 319488000000.

The previous prime is 879295999973. The next prime is 879296000053. The reversal of 879296000000 is 692978.

It is a super-2 number, since 2×879296000000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 703999376 + ... + 704000624.

Almost surely, 2^879296000000 is an apocalyptic number.

879296000000 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 879296000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199838157500).

879296000000 is an abundant number, since it is smaller than the sum of its proper divisors (1520380315000).

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

879296000000 is an frugal number, since it uses more digits than its factorization.

879296000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 41.

Adding to 879296000000 its reverse (692978), we get a palindrome (879296692978).

The spelling of 879296000000 in words is "eight hundred seventy-nine billion, two hundred ninety-six million", and thus it is an aban number.