879851520 has 144 divisors (see below), whose sum is σ = 3049726680. Its totient is φ = 234602496.

The previous prime is 879851491. The next prime is 879851521. The reversal of 879851520 is 25158978.

It is a happy number.

879851520 is a `hidden beast` number, since 8 + 79 + 8 + 51 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (879851521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87387 + ... + 96933.

Almost surely, 2^879851520 is an apocalyptic number.

879851520 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 879851520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524863340).

879851520 is an abundant number, since it is smaller than the sum of its proper divisors (2169875160).

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

879851520 is a wasteful number, since it uses less digits than its factorization.

879851520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9580 (or 9557 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The square root of 879851520 is about 29662.2912129188. The cubic root of 879851520 is about 958.2300721674.

The spelling of 879851520 in words is "eight hundred seventy-nine million, eight hundred fifty-one thousand, five hundred twenty".