878728320 has 192 divisors, whose sum is σ = 3049932600. Its totient is φ = 233127936.

The previous prime is 878728313. The next prime is 878728327. The reversal of 878728320 is 23827878.

It is an interprime number because it is at equal distance from previous prime (878728313) and next prime (878728327).

It can be written as a sum of positive squares in 4 ways, for example, as 844716096 + 34012224 = 29064^2 + 5832^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (878728327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2148276 + ... + 2148684.

Almost surely, 2^878728320 is an apocalyptic number.

878728320 is a gapful number since it is divisible by the number (80) 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 878728320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524966300).

878728320 is an abundant number, since it is smaller than the sum of its proper divisors (2171204280).

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

878728320 is a wasteful number, since it uses less digits than its factorization.

878728320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 878728320 is about 29643.3520371769. The cubic root of 878728320 is about 957.8221463962.

The spelling of 878728320 in words is "eight hundred seventy-eight million, seven hundred twenty-eight thousand, three hundred twenty".