278822880 has 288 divisors, whose sum is σ = 1100736000. Its totient is φ = 62954496.

The previous prime is 278822839. The next prime is 278822881. The reversal of 278822880 is 88228872.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×278822880² = 155484396822988800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (278822881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1401021 + ... + 1401219.

It is an arithmetic number, because the mean of its divisors is an integer number (3822000).

Almost surely, 2^278822880 is an apocalyptic number.

278822880 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 278822880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550368000).

278822880 is an abundant number, since it is smaller than the sum of its proper divisors (821913120).

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

278822880 is a wasteful number, since it uses less digits than its factorization.

278822880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 278822880 is about 16697.9902982365. The cubic root of 278822880 is about 653.2952034760.

The spelling of 278822880 in words is "two hundred seventy-eight million, eight hundred twenty-two thousand, eight hundred eighty".