80005960 has 96 divisors (see below), whose sum is σ = 199080000. Its totient is φ = 28854144.

The previous prime is 80005949. The next prime is 80005987. The reversal of 80005960 is 6950008.

80005960 = T₂₃ + T₂₄ + ... + T₇₈₂.

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 23 ways as a sum of consecutive naturals, for example, 401941 + ... + 402139.

It is an arithmetic number, because the mean of its divisors is an integer number (2073750).

Almost surely, 2^80005960 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 80005960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99540000).

80005960 is an abundant number, since it is smaller than the sum of its proper divisors (119074040).

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

80005960 is a wasteful number, since it uses less digits than its factorization.

80005960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 80005960 is about 8944.6050779227. The cubic root of 80005960 is about 430.8976380996.

Adding to 80005960 its reverse (6950008), we get a palindrome (86955968).

The spelling of 80005960 in words is "eighty million, five thousand, nine hundred sixty".