880816960 has 56 divisors (see below), whose sum is σ = 2118289896. Its totient is φ = 348825600.

The previous prime is 880816957. The next prime is 880816967. The reversal of 880816960 is 69618088.

It can be written as a sum of positive squares in 4 ways, for example, as 299428416 + 581388544 = 17304^2 + 24112^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 880816960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (880816967) 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, 18694 + ... + 45946.

Almost surely, 2^880816960 is an apocalyptic number.

880816960 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 880816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059144948).

880816960 is an abundant number, since it is smaller than the sum of its proper divisors (1237472936).

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

880816960 is a wasteful number, since it uses less digits than its factorization.

880816960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27371 (or 27361 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 46.

The square root of 880816960 is about 29678.5606119973. The cubic root of 880816960 is about 958.5804250233.

The spelling of 880816960 in words is "eight hundred eighty million, eight hundred sixteen thousand, nine hundred sixty".