84820080 has 80 divisors (see below), whose sum is σ = 269089920. Its totient is φ = 22089984.

The previous prime is 84820069. The next prime is 84820081. The reversal of 84820080 is 8002848.

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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84820081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6211 + ... + 14429.

It is an arithmetic number, because the mean of its divisors is an integer number (3363624).

Almost surely, 2^84820080 is an apocalyptic number.

84820080 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 84820080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134544960).

84820080 is an abundant number, since it is smaller than the sum of its proper divisors (184269840).

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

84820080 is a wasteful number, since it uses less digits than its factorization.

84820080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8278 (or 8272 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 84820080 is about 9209.7817563719. The cubic root of 84820080 is about 439.3725215643.

The spelling of 84820080 in words is "eighty-four million, eight hundred twenty thousand, eighty".