80458920 has 160 divisors (see below), whose sum is σ = 284882400. Its totient is φ = 20310912.

The previous prime is 80458871. The next prime is 80458967. The reversal of 80458920 is 2985408.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 60907 + ... + 62213.

It is an arithmetic number, because the mean of its divisors is an integer number (1780515).

Almost surely, 2^80458920 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 80458920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142441200).

80458920 is an abundant number, since it is smaller than the sum of its proper divisors (204423480).

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

80458920 is a wasteful number, since it uses less digits than its factorization.

80458920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 80458920 is about 8969.8896314280. The cubic root of 80458920 is about 431.7092951612.

It can be divided in two parts, 804589 and 20, that added together give a square (804609 = 897²).

The spelling of 80458920 in words is "eighty million, four hundred fifty-eight thousand, nine hundred twenty".