82044480 has 224 divisors, whose sum is σ = 308701440. Its totient is φ = 18063360.

The previous prime is 82044467. The next prime is 82044539. The reversal of 82044480 is 8444028.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194670 + ... + 195090.

Almost surely, 2^82044480 is an apocalyptic number.

82044480 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 82044480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154350720).

82044480 is an abundant number, since it is smaller than the sum of its proper divisors (226656960).

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

82044480 is a wasteful number, since it uses less digits than its factorization.

82044480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 82044480 is about 9057.8408023104. The cubic root of 82044480 is about 434.5266882542.

The spelling of 82044480 in words is "eighty-two million, forty-four thousand, four hundred eighty".