80261120 has 52 divisors (see below), whose sum is σ = 192652320. Its totient is φ = 32096256.

The previous prime is 80261119. The next prime is 80261123. The reversal of 80261120 is 2116208.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 80261092 and 80261101.

It is not an unprimeable number, because it can be changed into a prime (80261123) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 18521 + ... + 22439.

Almost surely, 2^80261120 is an apocalyptic number.

80261120 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 80261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96326160).

80261120 is an abundant number, since it is smaller than the sum of its proper divisors (112391200).

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

80261120 is an equidigital number, since it uses as much as digits as its factorization.

80261120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3948 (or 3926 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 80261120 is about 8958.8570699615. The cubic root of 80261120 is about 431.3552338580.

Adding to 80261120 its reverse (2116208), we get a palindrome (82377328).

The spelling of 80261120 in words is "eighty million, two hundred sixty-one thousand, one hundred twenty".