80609328 has 120 divisors (see below), whose sum is σ = 236964000. Its totient is φ = 25546752.

The previous prime is 80609327. The next prime is 80609363. The reversal of 80609328 is 82390608.

It is a super-2 number, since 2×80609328² = 12995727521223168, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 80609292 and 80609301.

It is not an unprimeable number, because it can be changed into a prime (80609323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 404973 + ... + 405171.

It is an arithmetic number, because the mean of its divisors is an integer number (1974700).

Almost surely, 2^80609328 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 80609328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118482000).

80609328 is an abundant number, since it is smaller than the sum of its proper divisors (156354672).

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

80609328 is a wasteful number, since it uses less digits than its factorization.

80609328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 80609328 is about 8978.2697664973. The cubic root of 80609328 is about 431.9781367536.

The spelling of 80609328 in words is "eighty million, six hundred nine thousand, three hundred twenty-eight".