80220672 has 160 divisors (see below), whose sum is σ = 271708800. Its totient is φ = 22892544.

The previous prime is 80220659. The next prime is 80220677. The reversal of 80220672 is 27602208.

It is a super-2 number, since 2×80220672² = 12870712432263168, which contains 22 as substring.

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 (80220677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96354 + ... + 97182.

It is an arithmetic number, because the mean of its divisors is an integer number (1698180).

Almost surely, 2^80220672 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 80220672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135854400).

80220672 is an abundant number, since it is smaller than the sum of its proper divisors (191488128).

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

80220672 is an equidigital number, since it uses as much as digits as its factorization.

80220672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 80220672 is about 8956.5993546658. The cubic root of 80220672 is about 431.2827604602.

The spelling of 80220672 in words is "eighty million, two hundred twenty thousand, six hundred seventy-two".