80272980 has 144 divisors (see below), whose sum is σ = 265159440. Its totient is φ = 19574784.

The previous prime is 80272937. The next prime is 80272987. The reversal of 80272980 is 8927208.

80272980 = T₄₆₅ + T₄₆₆ + ... + T₈₃₄.

It can be written as a sum of positive squares in 8 ways, for example, as 777924 + 79495056 = 882^2 + 8916^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80272987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112866 + ... + 113574.

It is an arithmetic number, because the mean of its divisors is an integer number (1841385).

Almost surely, 2^80272980 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 80272980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132579720).

80272980 is an abundant number, since it is smaller than the sum of its proper divisors (184886460).

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

80272980 is a wasteful number, since it uses less digits than its factorization.

80272980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 80272980 is about 8959.5189603014. The cubic root of 80272980 is about 431.3764795998.

The spelling of 80272980 in words is "eighty million, two hundred seventy-two thousand, nine hundred eighty".