82020480 has 64 divisors (see below), whose sum is σ = 261446400. Its totient is φ = 21871616.

The previous prime is 82020467. The next prime is 82020487. The reversal of 82020480 is 8402028.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 82020480.

It is not an unprimeable number, because it can be changed into a prime (82020487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19440 + ... + 23279.

It is an arithmetic number, because the mean of its divisors is an integer number (4085100).

Almost surely, 2^82020480 is an apocalyptic number.

82020480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82020480 is an abundant number, since it is smaller than the sum of its proper divisors (179425920).

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

82020480 is a wasteful number, since it uses less digits than its factorization.

82020480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42741 (or 42729 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 82020480 is about 9056.5158863660. The cubic root of 82020480 is about 434.4843142576.

The spelling of 82020480 in words is "eighty-two million, twenty thousand, four hundred eighty".