80407089 has 45 divisors (see below), whose sum is σ = 137750379. Its totient is φ = 45193680.

The previous prime is 80407051. The next prime is 80407121. The reversal of 80407089 is 98070408.

The square root of 80407089 is 8967.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2614689 + 77792400 = 1617^2 + 8820^2 .

It is not a de Polignac number, because 80407089 - 2¹⁵ = 80374321 is a prime.

It is a super-2 number, since 2×80407089² = 12930599922907842, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (80407039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1318119 + ... + 1318179.

Almost surely, 2^80407089 is an apocalyptic number.

80407089 is the 8967-th square number.

80407089 is the 4484-th centered octagonal number.

It is an amenable number.

80407089 is a deficient number, since it is larger than the sum of its proper divisors (57343290).

80407089 is an frugal number, since it uses more digits than its factorization.

80407089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The cubic root of 80407089 is about 431.6165740103.

Multiplying 80407089 by its sum of digits (36), we get a square (2894655204 = 53802²).

It can be divided in two parts, 8040 and 7089, that added together give a square (15129 = 123²).

The spelling of 80407089 in words is "eighty million, four hundred seven thousand, eighty-nine".