80105984 has 120 divisors (see below), whose sum is σ = 194059008. Its totient is φ = 32901120.

The previous prime is 80105983. The next prime is 80106043. The reversal of 80105984 is 48950108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80105983) 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, 777677 + ... + 777779.

Almost surely, 2^80105984 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 80105984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97029504).

80105984 is an abundant number, since it is smaller than the sum of its proper divisors (113953024).

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

80105984 is a wasteful number, since it uses less digits than its factorization.

80105984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 35.

The square root of 80105984 is about 8950.1946347552. The cubic root of 80105984 is about 431.0771337125.

The spelling of 80105984 in words is "eighty million, one hundred five thousand, nine hundred eighty-four".