879140160 has 336 divisors, whose sum is σ = 3207959040. Its totient is φ = 220631040.

The previous prime is 879140147. The next prime is 879140167. The reversal of 879140160 is 61041978.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (879140167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3838926 + ... + 3839154.

Almost surely, 2^879140160 is an apocalyptic number.

879140160 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 879140160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603979520).

879140160 is an abundant number, since it is smaller than the sum of its proper divisors (2328818880).

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

879140160 is a wasteful number, since it uses less digits than its factorization.

879140160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 879140160 is about 29650.2978062616. The cubic root of 879140160 is about 957.9717595184.

The spelling of 879140160 in words is "eight hundred seventy-nine million, one hundred forty thousand, one hundred sixty".