84120080 has 80 divisors (see below), whose sum is σ = 225949824. Its totient is φ = 28784640.

The previous prime is 84120077. The next prime is 84120089. The reversal of 84120080 is 8002148.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (84120089) 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, 12149 + ... + 17771.

Almost surely, 2^84120080 is an apocalyptic number.

84120080 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 84120080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112974912).

84120080 is an abundant number, since it is smaller than the sum of its proper divisors (141829744).

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

84120080 is a wasteful number, since it uses less digits than its factorization.

84120080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5664 (or 5658 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 84120080 is about 9171.6999514812. The cubic root of 84120080 is about 438.1605021892.

The spelling of 84120080 in words is "eighty-four million, one hundred twenty thousand, eighty".