879114401280 has 1280 divisors, whose sum is σ = 3434797301760. Its totient is φ = 212251705344.

The previous prime is 879114401261. The next prime is 879114401293. The reversal of 879114401280 is 82104411978.

879114401280 is a `hidden beast` number, since 8 + 79 + 11 + 440 + 128 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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 127 ways as a sum of consecutive naturals, for example, 6416893372 + ... + 6416893508.

It is an arithmetic number, because the mean of its divisors is an integer number (2683435392).

Almost surely, 2^879114401280 is an apocalyptic number.

879114401280 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 879114401280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717398650880).

879114401280 is an abundant number, since it is smaller than the sum of its proper divisors (2555682900480).

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

879114401280 is a wasteful number, since it uses less digits than its factorization.

879114401280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 879114401280 in words is "eight hundred seventy-nine billion, one hundred fourteen million, four hundred one thousand, two hundred eighty".