80287872 has 192 divisors, whose sum is σ = 263723040. Its totient is φ = 21504000.

The previous prime is 80287853. The next prime is 80287873. The reversal of 80287872 is 27878208.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×80287872² = 12892284780576768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (80287873) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 319747 + ... + 319997.

Almost surely, 2^80287872 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 80287872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131861520).

80287872 is an abundant number, since it is smaller than the sum of its proper divisors (183435168).

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

80287872 is a wasteful number, since it uses less digits than its factorization.

80287872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 42.

The square root of 80287872 is about 8960.3499931643. The cubic root of 80287872 is about 431.4031538362.

The spelling of 80287872 in words is "eighty million, two hundred eighty-seven thousand, eight hundred seventy-two".