80318880 has 216 divisors, whose sum is σ = 292668012. Its totient is φ = 20054016.

The previous prime is 80318873. The next prime is 80318881. The reversal of 80318880 is 8881308.

It can be written as a sum of positive squares in 6 ways, for example, as 47279376 + 33039504 = 6876^2 + 5748^2 .

It is a super-2 number, since 2×80318880² = 12902244968908800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (80318881) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 416064 + ... + 416256.

Almost surely, 2^80318880 is an apocalyptic number.

80318880 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 80318880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146334006).

80318880 is an abundant number, since it is smaller than the sum of its proper divisors (212349132).

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

80318880 is a wasteful number, since it uses less digits than its factorization.

80318880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 80318880 is about 8962.0801156874. The cubic root of 80318880 is about 431.4586841295.

It can be divided in two parts, 803 and 18880, that added together give a 9-th power (19683 = 3⁹).

The spelling of 80318880 in words is "eighty million, three hundred eighteen thousand, eight hundred eighty".