80082240 has 224 divisors, whose sum is σ = 308116224. Its totient is φ = 17203200.

The previous prime is 80082239. The next prime is 80082271. The reversal of 80082240 is 4228008.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 80082240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113890 + ... + 114590.

Almost surely, 2^80082240 is an apocalyptic number.

80082240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154058112).

80082240 is an abundant number, since it is smaller than the sum of its proper divisors (228033984).

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

80082240 is a wasteful number, since it uses less digits than its factorization.

80082240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 80082240 is about 8948.8680848474. The cubic root of 80082240 is about 431.0345380311.

The spelling of 80082240 in words is "eighty million, eighty-two thousand, two hundred forty".