80456480 has 96 divisors (see below), whose sum is σ = 209309184. Its totient is φ = 29039616.

The previous prime is 80456459. The next prime is 80456503. The reversal of 80456480 is 8465408.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 80456480.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97349 + ... + 98171.

It is an arithmetic number, because the mean of its divisors is an integer number (2180304).

Almost surely, 2^80456480 is an apocalyptic number.

80456480 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 80456480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104654592).

80456480 is an abundant number, since it is smaller than the sum of its proper divisors (128852704).

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

80456480 is a wasteful number, since it uses less digits than its factorization.

80456480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The square root of 80456480 is about 8969.7536198047. The cubic root of 80456480 is about 431.7049311068.

The spelling of 80456480 in words is "eighty million, four hundred fifty-six thousand, four hundred eighty".