80205960 has 64 divisors (see below), whose sum is σ = 245177280. Its totient is φ = 20983040.

The previous prime is 80205947. The next prime is 80205977. The reversal of 80205960 is 6950208.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55 + ... + 12665.

It is an arithmetic number, because the mean of its divisors is an integer number (3830895).

Almost surely, 2^80205960 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 80205960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122588640).

80205960 is an abundant number, since it is smaller than the sum of its proper divisors (164971320).

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

80205960 is a wasteful number, since it uses less digits than its factorization.

80205960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12678 (or 12674 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 80205960 is about 8955.7780231535. The cubic root of 80205960 is about 431.2563939401.

The spelling of 80205960 in words is "eighty million, two hundred five thousand, nine hundred sixty".