80288416 has 48 divisors (see below), whose sum is σ = 180256104. Its totient is φ = 34873344.

The previous prime is 80288401. The next prime is 80288431. The reversal of 80288416 is 61488208.

It is an interprime number because it is at equal distance from previous prime (80288401) and next prime (80288431).

It can be written as a sum of positive squares in 4 ways, for example, as 57820816 + 22467600 = 7604^2 + 4740^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1396 + ... + 12748.

Almost surely, 2^80288416 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 80288416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90128052).

80288416 is an abundant number, since it is smaller than the sum of its proper divisors (99967688).

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

80288416 is a wasteful number, since it uses less digits than its factorization.

80288416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11393 (or 11385 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The square root of 80288416 is about 8960.3803490700. The cubic root of 80288416 is about 431.4041281751.

The spelling of 80288416 in words is "eighty million, two hundred eighty-eight thousand, four hundred sixteen".