879347427840 has 960 divisors, whose sum is σ = 3617525463552. Its totient is φ = 193226342400.

The previous prime is 879347427793. The next prime is 879347427853. The reversal of 879347427840 is 48724743978.

879347427840 is a `hidden beast` number, since 8 + 7 + 93 + 47 + 427 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 469485144 + ... + 469487016.

Almost surely, 2^879347427840 is an apocalyptic number.

879347427840 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 879347427840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808762731776).

879347427840 is an abundant number, since it is smaller than the sum of its proper divisors (2738178035712).

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

879347427840 is a wasteful number, since it uses less digits than its factorization.

879347427840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2021 (or 2002 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 63.

The spelling of 879347427840 in words is "eight hundred seventy-nine billion, three hundred forty-seven million, four hundred twenty-seven thousand, eight hundred forty".