80251920 has 120 divisors (see below), whose sum is σ = 308033856. Its totient is φ = 18342144.

The previous prime is 80251861. The next prime is 80251921. The reversal of 80251920 is 2915208.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×80251920³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (80251921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2922 + ... + 13001.

Almost surely, 2^80251920 is an apocalyptic number.

80251920 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 80251920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154016928).

80251920 is an abundant number, since it is smaller than the sum of its proper divisors (227781936).

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

80251920 is a wasteful number, since it uses less digits than its factorization.

80251920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15949 (or 15940 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 80251920 is about 8958.3435968933. The cubic root of 80251920 is about 431.3387517398.

The spelling of 80251920 in words is "eighty million, two hundred fifty-one thousand, nine hundred twenty".