80116128 has 72 divisors (see below), whose sum is σ = 236291328. Its totient is φ = 26702784.

The previous prime is 80116123. The next prime is 80116133. The reversal of 80116128 is 82161108.

It is an interprime number because it is at equal distance from previous prime (80116123) and next prime (80116133).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (80116123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2625 + ... + 12927.

It is an arithmetic number, because the mean of its divisors is an integer number (3281824).

Almost surely, 2^80116128 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 80116128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118145664).

80116128 is an abundant number, since it is smaller than the sum of its proper divisors (156175200).

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

80116128 is a wasteful number, since it uses less digits than its factorization.

80116128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10328 (or 10308 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 80116128 is about 8950.7613084028. The cubic root of 80116128 is about 431.0953290318.

The spelling of 80116128 in words is "eighty million, one hundred sixteen thousand, one hundred twenty-eight".