80842400 has 72 divisors (see below), whose sum is σ = 199049760. Its totient is φ = 32060160.

The previous prime is 80842387. The next prime is 80842403. The reversal of 80842400 is 424808.

It is a self number, because there is not a number n which added to its sum of digits gives 80842400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80842403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110837 + ... + 111563.

It is an arithmetic number, because the mean of its divisors is an integer number (2764580).

Almost surely, 2^80842400 is an apocalyptic number.

80842400 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 80842400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99524880).

80842400 is an abundant number, since it is smaller than the sum of its proper divisors (118207360).

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

80842400 is a wasteful number, since it uses less digits than its factorization.

80842400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 80842400 is about 8991.2401814210. The cubic root of 80842400 is about 432.3940734274.

The spelling of 80842400 in words is "eighty million, eight hundred forty-two thousand, four hundred".