80142720 has 256 divisors, whose sum is σ = 299635200. Its totient is φ = 17842176.

The previous prime is 80142707. The next prime is 80142721. The reversal of 80142720 is 2724108.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80142721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 900436 + ... + 900524.

It is an arithmetic number, because the mean of its divisors is an integer number (1170450).

Almost surely, 2^80142720 is an apocalyptic number.

80142720 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 80142720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149817600).

80142720 is an abundant number, since it is smaller than the sum of its proper divisors (219492480).

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

80142720 is a wasteful number, since it uses less digits than its factorization.

80142720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 80142720 is about 8952.2466453958. The cubic root of 80142720 is about 431.1430198825.

Adding to 80142720 its reverse (2724108), we get a palindrome (82866828).

The spelling of 80142720 in words is "eighty million, one hundred forty-two thousand, seven hundred twenty".