80772120 has 256 divisors, whose sum is σ = 316915200. Its totient is φ = 18040320.

The previous prime is 80772089. The next prime is 80772149. The reversal of 80772120 is 2127708.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 154179 + ... + 154701.

It is an arithmetic number, because the mean of its divisors is an integer number (1237950).

Almost surely, 2^80772120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80772120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158457600).

80772120 is an abundant number, since it is smaller than the sum of its proper divisors (236143080).

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

80772120 is a wasteful number, since it uses less digits than its factorization.

80772120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 80772120 is about 8987.3310832527. The cubic root of 80772120 is about 432.2687371112.

Adding to 80772120 its reverse (2127708), we get a palindrome (82899828).

It can be divided in two parts, 807 and 72120, that added together give a palindrome (72927).

The spelling of 80772120 in words is "eighty million, seven hundred seventy-two thousand, one hundred twenty".