80457120 has 144 divisors (see below), whose sum is σ = 279508320. Its totient is φ = 21069312.

The previous prime is 80457119. The next prime is 80457131. The reversal of 80457120 is 2175408.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 84487 + ... + 85433.

It is an arithmetic number, because the mean of its divisors is an integer number (1941030).

Almost surely, 2^80457120 is an apocalyptic number.

80457120 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 80457120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139754160).

80457120 is an abundant number, since it is smaller than the sum of its proper divisors (199051200).

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

80457120 is a wasteful number, since it uses less digits than its factorization.

80457120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 80457120 is about 8969.7892951841. The cubic root of 80457120 is about 431.7060757853.

The spelling of 80457120 in words is "eighty million, four hundred fifty-seven thousand, one hundred twenty".