80763120 has 120 divisors (see below), whose sum is σ = 283080096. Its totient is φ = 20596224.

The previous prime is 80763103. The next prime is 80763127. The reversal of 80763120 is 2136708.

80763120 is a `hidden beast` number, since 8 + 0 + 7 + 631 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80763127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14122 + ... + 18998.

Almost surely, 2^80763120 is an apocalyptic number.

80763120 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 80763120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141540048).

80763120 is an abundant number, since it is smaller than the sum of its proper divisors (202316976).

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

80763120 is a wasteful number, since it uses less digits than its factorization.

80763120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4919 (or 4910 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 80763120 is about 8986.8303644834. The cubic root of 80763120 is about 432.2526813933.

Adding to 80763120 its reverse (2136708), we get a palindrome (82899828).

The spelling of 80763120 in words is "eighty million, seven hundred sixty-three thousand, one hundred twenty".