879198630400 has 60 divisors (see below), whose sum is σ = 2178283325922. Its totient is φ = 351679447040.

The previous prime is 879198630391. The next prime is 879198630403. The reversal of 879198630400 is 4036891978.

It can be written as a sum of positive squares in 3 ways, for example, as 710257901824 + 168940728576 = 842768^2 + 411024^2 .

It is not an unprimeable number, because it can be changed into a prime (879198630403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34330897 + ... + 34356496.

Almost surely, 2^879198630400 is an apocalyptic number.

879198630400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

879198630400 is an abundant number, since it is smaller than the sum of its proper divisors (1299084695522).

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

879198630400 is an equidigital number, since it uses as much as digits as its factorization.

879198630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68687421 (or 68687400 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 55.

The spelling of 879198630400 in words is "eight hundred seventy-nine billion, one hundred ninety-eight million, six hundred thirty thousand, four hundred".