80448480 has 288 divisors, whose sum is σ = 328333824. Its totient is φ = 17538048.

The previous prime is 80448479. The next prime is 80448481. The reversal of 80448480 is 8484408.

It is an interprime number because it is at equal distance from previous prime (80448479) and next prime (80448481).

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80448481) 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 47 ways as a sum of consecutive naturals, for example, 231667 + ... + 232013.

It is an arithmetic number, because the mean of its divisors is an integer number (1140048).

Almost surely, 2^80448480 is an apocalyptic number.

80448480 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 80448480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164166912).

80448480 is an abundant number, since it is smaller than the sum of its proper divisors (247885344).

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

80448480 is a wasteful number, since it uses less digits than its factorization.

80448480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 80448480 is about 8969.3076655894. The cubic root of 80448480 is about 431.6906221125.

It can be divided in two parts, 804 and 48480, that added together give a square (49284 = 222²).

The spelling of 80448480 in words is "eighty million, four hundred forty-eight thousand, four hundred eighty".