80790960 has 80 divisors (see below), whose sum is σ = 258554880. Its totient is φ = 20847360.

The previous prime is 80790959. The next prime is 80790961. The reversal of 80790960 is 6909708.

It is an interprime number because it is at equal distance from previous prime (80790959) and next prime (80790961).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (80790961) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2011 + ... + 12869.

It is an arithmetic number, because the mean of its divisors is an integer number (3231936).

Almost surely, 2^80790960 is an apocalyptic number.

80790960 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 80790960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129277440).

80790960 is an abundant number, since it is smaller than the sum of its proper divisors (177763920).

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

80790960 is a wasteful number, since it uses less digits than its factorization.

80790960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10906 (or 10900 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 80790960 is about 8988.3791642320. The cubic root of 80790960 is about 432.3023432198.

The spelling of 80790960 in words is "eighty million, seven hundred ninety thousand, nine hundred sixty".