84340080 has 240 divisors, whose sum is σ = 323122176. Its totient is φ = 19514880.

The previous prime is 84340073. The next prime is 84340093. The reversal of 84340080 is 8004348.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×84340080² = 14226498188812800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 181929 + ... + 182391.

Almost surely, 2^84340080 is an apocalyptic number.

84340080 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 84340080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161561088).

84340080 is an abundant number, since it is smaller than the sum of its proper divisors (238782096).

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

84340080 is a wasteful number, since it uses less digits than its factorization.

84340080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 84340080 is about 9183.6855346860. The cubic root of 84340080 is about 438.5421447089.

The spelling of 84340080 in words is "eighty-four million, three hundred forty thousand, eighty".