80005782 has 32 divisors (see below), whose sum is σ = 163848960. Its totient is φ = 26036640.

The previous prime is 80005771. The next prime is 80005813. The reversal of 80005782 is 28750008.

It is a super-3 number, since 3×80005782³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45573 + ... + 47295.

It is an arithmetic number, because the mean of its divisors is an integer number (5120280).

Almost surely, 2^80005782 is an apocalyptic number.

80005782 is an abundant number, since it is smaller than the sum of its proper divisors (83843178).

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

80005782 is a wasteful number, since it uses less digits than its factorization.

80005782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1908.

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 80005782 is about 8944.5951277853. The cubic root of 80005782 is about 430.8973185408.

The spelling of 80005782 in words is "eighty million, five thousand, seven hundred eighty-two".