879930549590400 has 6912 divisors, whose sum is σ = 4288752062300160. Its totient is φ = 174164981760000.

The previous prime is 879930549590381. The next prime is 879930549590441. The reversal of 879930549590400 is 4095945039978.

879930549590400 is a `hidden beast` number, since 8 + 7 + 9 + 9 + 3 + 0 + 5 + 495 + 90 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 1449638466897 + ... + 1449638467503.

It is an arithmetic number, because the mean of its divisors is an integer number (620479175680).

Almost surely, 2^{879930549590400} is an apocalyptic number.

879930549590400 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 879930549590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2144376031150080).

879930549590400 is an abundant number, since it is smaller than the sum of its proper divisors (3408821512709760).

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

879930549590400 is a wasteful number, since it uses less digits than its factorization.

879930549590400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 440899200, while the sum is 72.

The spelling of 879930549590400 in words is "eight hundred seventy-nine trillion, nine hundred thirty billion, five hundred forty-nine million, five hundred ninety thousand, four hundred".