80458960 has 80 divisors (see below), whose sum is σ = 201254976. Its totient is φ = 29804544.

The previous prime is 80458871. The next prime is 80458967. The reversal of 80458960 is 6985408.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80458967) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 90679 + ... + 91561.

Almost surely, 2^80458960 is an apocalyptic number.

80458960 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 80458960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100627488).

80458960 is an abundant number, since it is smaller than the sum of its proper divisors (120796016).

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

80458960 is a wasteful number, since it uses less digits than its factorization.

80458960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 80458960 is about 8969.8918611096. The cubic root of 80458960 is about 431.7093667024.

It can be divided in two parts, 80458 and 960, that added together give a palindrome (81418).

The spelling of 80458960 in words is "eighty million, four hundred fifty-eight thousand, nine hundred sixty".