80259408 has 60 divisors (see below), whose sum is σ = 228322068. Its totient is φ = 26311680.

The previous prime is 80259391. The next prime is 80259419. The reversal of 80259408 is 80495208.

It can be written as a sum of positive squares in 2 ways, for example, as 1617984 + 78641424 = 1272^2 + 8868^2 .

It is a super-3 number, since 3×80259408³ (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4216 + ... + 13352.

Almost surely, 2^80259408 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 80259408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114161034).

80259408 is an abundant number, since it is smaller than the sum of its proper divisors (148062660).

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

80259408 is a wasteful number, since it uses less digits than its factorization.

80259408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9212 (or 9203 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 80259408 is about 8958.7615215497. The cubic root of 80259408 is about 431.3521668462.

The spelling of 80259408 in words is "eighty million, two hundred fifty-nine thousand, four hundred eight".