80705664 has 192 divisors, whose sum is σ = 265650840. Its totient is φ = 23298048.

The previous prime is 80705609. The next prime is 80705683. The reversal of 80705664 is 46650708.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 46131264 + 34574400 = 6792^2 + 5880^2 .

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254434 + ... + 254750.

Almost surely, 2^80705664 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 80705664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132825420).

80705664 is an abundant number, since it is smaller than the sum of its proper divisors (184945176).

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

80705664 is a wasteful number, since it uses less digits than its factorization.

80705664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 352 counting only the distinct ones).

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

The square root of 80705664 is about 8983.6331180653. The cubic root of 80705664 is about 432.1501535652.

The spelling of 80705664 in words is "eighty million, seven hundred five thousand, six hundred sixty-four".