879003740160 has 3072 divisors, whose sum is σ = 4226826240000. Its totient is φ = 171674173440.

The previous prime is 879003740159. The next prime is 879003740249. The reversal of 879003740160 is 61047300978.

It is a tau number, because it is divible by the number of its divisors (3072).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 28354959345 + ... + 28354959375.

It is an arithmetic number, because the mean of its divisors is an integer number (1375920000).

Almost surely, 2^879003740160 is an apocalyptic number.

879003740160 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 879003740160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2113413120000).

879003740160 is an abundant number, since it is smaller than the sum of its proper divisors (3347822499840).

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

879003740160 is a wasteful number, since it uses less digits than its factorization.

879003740160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 879003740160 in words is "eight hundred seventy-nine billion, three million, seven hundred forty thousand, one hundred sixty".