80960256 has 288 divisors, whose sum is σ = 278147520. Its totient is φ = 23003136.

The previous prime is 80960249. The next prime is 80960261. The reversal of 80960256 is 65206908.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 80960256.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1527526 + ... + 1527578.

It is an arithmetic number, because the mean of its divisors is an integer number (965790).

Almost surely, 2^80960256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80960256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139073760).

80960256 is an abundant number, since it is smaller than the sum of its proper divisors (197187264).

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

80960256 is a wasteful number, since it uses less digits than its factorization.

80960256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 80960256 is about 8997.7917290855. The cubic root of 80960256 is about 432.6040931359.

The spelling of 80960256 in words is "eighty million, nine hundred sixty thousand, two hundred fifty-six".