279982080 has 468 divisors, whose sum is σ = 1165349952. Its totient is φ = 61931520.

The previous prime is 279982069. The next prime is 279982091. The reversal of 279982080 is 80289972.

It is an interprime number because it is at equal distance from previous prime (279982069) and next prime (279982091).

It is a super-2 number, since 2×279982080² = 156779930242252800, which contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 9031665 + ... + 9031695.

It is an arithmetic number, because the mean of its divisors is an integer number (2490064).

Almost surely, 2^279982080 is an apocalyptic number.

279982080 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 279982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582674976).

279982080 is an abundant number, since it is smaller than the sum of its proper divisors (885367872).

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

279982080 is a wasteful number, since it uses less digits than its factorization.

279982080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 279982080 is about 16732.6650596969. The cubic root of 279982080 is about 654.1993051904.

The spelling of 279982080 in words is "two hundred seventy-nine million, nine hundred eighty-two thousand, eighty".