879428430720 has 3072 divisors, whose sum is σ = 4176632678400. Its totient is φ = 171992678400.

The previous prime is 879428430697. The next prime is 879428430733. The reversal of 879428430720 is 27034824978.

It is a happy number.

879428430720 is a `hidden beast` number, since 87 + 94 + 28 + 430 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 14416859490 + ... + 14416859550.

It is an arithmetic number, because the mean of its divisors is an integer number (1359580950).

Almost surely, 2^879428430720 is an apocalyptic number.

879428430720 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 879428430720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2088316339200).

879428430720 is an abundant number, since it is smaller than the sum of its proper divisors (3297204247680).

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

879428430720 is a wasteful number, since it uses less digits than its factorization.

879428430720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 879428430720 in words is "eight hundred seventy-nine billion, four hundred twenty-eight million, four hundred thirty thousand, seven hundred twenty".