80129088 has 280 divisors, whose sum is σ = 271073880. Its totient is φ = 23224320.

The previous prime is 80129083. The next prime is 80129089. The reversal of 80129088 is 88092108.

It can be written as a sum of positive squares in 4 ways, for example, as 419904 + 79709184 = 648^2 + 8928^2 .

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 (80129083) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1954348 + ... + 1954388.

It is an arithmetic number, because the mean of its divisors is an integer number (968121).

Almost surely, 2^80129088 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 80129088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135536940).

80129088 is an abundant number, since it is smaller than the sum of its proper divisors (190944792).

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

80129088 is a wasteful number, since it uses less digits than its factorization.

80129088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 80129088 is about 8951.4852398918. The cubic root of 80129088 is about 431.1185731832.

Adding to 80129088 its product of nonzero digits (9216), we get a square (80138304 = 8952²).

The spelling of 80129088 in words is "eighty million, one hundred twenty-nine thousand, eighty-eight".