80783360 has 192 divisors, whose sum is σ = 235872000. Its totient is φ = 26492928.

The previous prime is 80783359. The next prime is 80783389. The reversal of 80783360 is 6338708.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 80783360.

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 15 ways as a sum of consecutive naturals, for example, 3512309 + ... + 3512331.

It is an arithmetic number, because the mean of its divisors is an integer number (1228500).

Almost surely, 2^80783360 is an apocalyptic number.

80783360 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 80783360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117936000).

80783360 is an abundant number, since it is smaller than the sum of its proper divisors (155088640).

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

80783360 is an equidigital number, since it uses as much as digits as its factorization.

80783360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 80783360 is about 8987.9563861870. The cubic root of 80783360 is about 432.2887872443.

The spelling of 80783360 in words is "eighty million, seven hundred eighty-three thousand, three hundred sixty".