278120 has 32 divisors (see below), whose sum is σ = 664200. Its totient is φ = 104448.

The previous prime is 278119. The next prime is 278123. The reversal of 278120 is 21872.

It can be written as a sum of positive squares in 4 ways, for example, as 276676 + 1444 = 526^2 + 38^2 .

It is a super-4 number, since 4×278120⁴ (a number of 23 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 278092 and 278101.

It is not an unprimeable number, because it can be changed into a prime (278123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 476 + ... + 884.

2²⁷⁸¹²⁰ is an apocalyptic number.

278120 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 278120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332100).

278120 is an abundant number, since it is smaller than the sum of its proper divisors (386080).

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

278120 is a wasteful number, since it uses less digits than its factorization.

278120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 278120 is about 527.3708372673. The cubic root of 278120 is about 65.2745781172.

Adding to 278120 its reverse (21872), we get a palindrome (299992).

The spelling of 278120 in words is "two hundred seventy-eight thousand, one hundred twenty".