80935680 has 144 divisors (see below), whose sum is σ = 295513344. Its totient is φ = 18493440.

The previous prime is 80935667. The next prime is 80935697. The reversal of 80935680 is 8653908.

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, 25375 + ... + 28385.

It is an arithmetic number, because the mean of its divisors is an integer number (2052176).

Almost surely, 2^80935680 is an apocalyptic number.

80935680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80935680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147756672).

80935680 is an abundant number, since it is smaller than the sum of its proper divisors (214577664).

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

80935680 is a wasteful number, since it uses less digits than its factorization.

80935680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3042 (or 3028 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 80935680 is about 8996.4259570120. The cubic root of 80935680 is about 432.5603154658.

The spelling of 80935680 in words is "eighty million, nine hundred thirty-five thousand, six hundred eighty".