279879803280 has 1920 divisors, whose sum is σ = 1319058432000. Its totient is φ = 53741076480.

The previous prime is 279879803249. The next prime is 279879803303. The reversal of 279879803280 is 82308978972.

It is a happy number.

279879803280 is a `hidden beast` number, since 279 + 8 + 7 + 9 + 80 + 3 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 1563574231 + ... + 1563574409.

It is an arithmetic number, because the mean of its divisors is an integer number (687009600).

Almost surely, 2^279879803280 is an apocalyptic number.

279879803280 is a gapful number since it is divisible by the number (20) 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 279879803280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659529216000).

279879803280 is an abundant number, since it is smaller than the sum of its proper divisors (1039178628720).

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

279879803280 is a wasteful number, since it uses less digits than its factorization.

279879803280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 279879803280 in words is "two hundred seventy-nine billion, eight hundred seventy-nine million, eight hundred three thousand, two hundred eighty".