879281280 has 192 divisors, whose sum is σ = 3052478520. Its totient is φ = 233226240.

The previous prime is 879281257. The next prime is 879281321. The reversal of 879281280 is 82182978.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 803382336 + 75898944 = 28344^2 + 8712^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1687420 + ... + 1687940.

Almost surely, 2^879281280 is an apocalyptic number.

879281280 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 879281280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526239260).

879281280 is an abundant number, since it is smaller than the sum of its proper divisors (2173197240).

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

879281280 is a wasteful number, since it uses less digits than its factorization.

879281280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 824 counting only the distinct ones).

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

The square root of 879281280 is about 29652.6774507801. The cubic root of 879281280 is about 958.0230148047.

The spelling of 879281280 in words is "eight hundred seventy-nine million, two hundred eighty-one thousand, two hundred eighty".