278779320 has 384 divisors, whose sum is σ = 1037836800. Its totient is φ = 67060224.

The previous prime is 278779313. The next prime is 278779327. The reversal of 278779320 is 23977872.

It is an interprime number because it is at equal distance from previous prime (278779313) and next prime (278779327).

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 (278779327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6483219 + ... + 6483261.

It is an arithmetic number, because the mean of its divisors is an integer number (2702700).

Almost surely, 2^278779320 is an apocalyptic number.

278779320 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 278779320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518918400).

278779320 is an abundant number, since it is smaller than the sum of its proper divisors (759057480).

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

278779320 is a wasteful number, since it uses less digits than its factorization.

278779320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 278779320 is about 16696.6858987046. The cubic root of 278779320 is about 653.2611806570.

The spelling of 278779320 in words is "two hundred seventy-eight million, seven hundred seventy-nine thousand, three hundred twenty".