80765640 has 256 divisors, whose sum is σ = 293932800. Its totient is φ = 19648512.

The previous prime is 80765611. The next prime is 80765681. The reversal of 80765640 is 4656708.

It is a happy number.

80765640 is a `hidden beast` number, since 8 + 0 + 7 + 6 + 5 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 80765595 and 80765604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 973039 + ... + 973121.

It is an arithmetic number, because the mean of its divisors is an integer number (1148175).

Almost surely, 2^80765640 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 80765640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146966400).

80765640 is an abundant number, since it is smaller than the sum of its proper divisors (213167160).

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

80765640 is a wasteful number, since it uses less digits than its factorization.

80765640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 163 counting only the distinct ones).

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

The square root of 80765640 is about 8986.9705685509. The cubic root of 80765640 is about 432.2571771145.

The spelling of 80765640 in words is "eighty million, seven hundred sixty-five thousand, six hundred forty".