278740320 has 96 divisors (see below), whose sum is σ = 890507520. Its totient is φ = 73274880.

The previous prime is 278740309. The next prime is 278740327. The reversal of 278740320 is 23047872.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (278740327) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 29991 + ... + 38169.

It is an arithmetic number, because the mean of its divisors is an integer number (9276120).

Almost surely, 2^278740320 is an apocalyptic number.

278740320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

278740320 is the 13632-nd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 278740320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445253760).

278740320 is an abundant number, since it is smaller than the sum of its proper divisors (611767200).

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

278740320 is a wasteful number, since it uses less digits than its factorization.

278740320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8268 (or 8260 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 278740320 is about 16695.5179614171. The cubic root of 278740320 is about 653.2307164483.

The spelling of 278740320 in words is "two hundred seventy-eight million, seven hundred forty thousand, three hundred twenty".