80456760 has 256 divisors, whose sum is σ = 290304000. Its totient is φ = 19768320.

The previous prime is 80456729. The next prime is 80456813. The reversal of 80456760 is 6765408.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1018401 + ... + 1018479.

It is an arithmetic number, because the mean of its divisors is an integer number (1134000).

Almost surely, 2^80456760 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 80456760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145152000).

80456760 is an abundant number, since it is smaller than the sum of its proper divisors (209847240).

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

80456760 is a wasteful number, since it uses less digits than its factorization.

80456760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 80456760 is about 8969.7692278007. The cubic root of 80456760 is about 431.7054319044.

The spelling of 80456760 in words is "eighty million, four hundred fifty-six thousand, seven hundred sixty".