80984400 has 240 divisors, whose sum is σ = 307027968. Its totient is φ = 17856000.

The previous prime is 80984381. The next prime is 80984411. The reversal of 80984400 is 448908.

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

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, 260245 + ... + 260555.

Almost surely, 2^80984400 is an apocalyptic number.

80984400 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 80984400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153513984).

80984400 is an abundant number, since it is smaller than the sum of its proper divisors (226043568).

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

80984400 is a wasteful number, since it uses less digits than its factorization.

80984400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 80984400 is about 8999.1332916009. The cubic root of 80984400 is about 432.6470926504.

The spelling of 80984400 in words is "eighty million, nine hundred eighty-four thousand, four hundred".