279978828480 has 448 divisors, whose sum is σ = 1070522705280. Its totient is φ = 68474585088.

The previous prime is 279978828391. The next prime is 279978828487. The reversal of 279978828480 is 84828879972.

279978828480 is a `hidden beast` number, since 2 + 79 + 9 + 78 + 8 + 2 + 8 + 480 = 666.

It is a super-2 number, since 2×279978828480² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 279978828399 and 279978828408.

It is not an unprimeable number, because it can be changed into a prime (279978828487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17626302 + ... + 17642178.

It is an arithmetic number, because the mean of its divisors is an integer number (2389559610).

Almost surely, 2^279978828480 is an apocalyptic number.

279978828480 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 279978828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535261352640).

279978828480 is an abundant number, since it is smaller than the sum of its proper divisors (790543876800).

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

279978828480 is a wasteful number, since it uses less digits than its factorization.

279978828480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16073 (or 16057 counting only the distinct ones).

The product of its (nonzero) digits is 260112384, while the sum is 72.

The spelling of 279978828480 in words is "two hundred seventy-nine billion, nine hundred seventy-eight million, eight hundred twenty-eight thousand, four hundred eighty".