80793600 has 156 divisors (see below), whose sum is σ = 268140576. Its totient is φ = 21463040.

The previous prime is 80793599. The next prime is 80793631. The reversal of 80793600 is 639708.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 307069 + ... + 307331.

Almost surely, 2^80793600 is an apocalyptic number.

80793600 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 80793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134070288).

80793600 is an abundant number, since it is smaller than the sum of its proper divisors (187346976).

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

80793600 is a wasteful number, since it uses less digits than its factorization.

80793600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 80793600 is about 8988.5260193204. The cubic root of 80793600 is about 432.3070519387.

The spelling of 80793600 in words is "eighty million, seven hundred ninety-three thousand, six hundred".