80086400 has 96 divisors (see below), whose sum is σ = 204897600. Its totient is φ = 30894080.

The previous prime is 80086399. The next prime is 80086417. The reversal of 80086400 is 468008.

It is a self number, because there is not a number n which added to its sum of digits gives 80086400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92369 + ... + 93231.

It is an arithmetic number, because the mean of its divisors is an integer number (2134350).

Almost surely, 2^80086400 is an apocalyptic number.

80086400 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 80086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102448800).

80086400 is an abundant number, since it is smaller than the sum of its proper divisors (124811200).

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

80086400 is a wasteful number, since it uses less digits than its factorization.

80086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 80086400 is about 8949.1005134594. The cubic root of 80086400 is about 431.0420014946.

The spelling of 80086400 in words is "eighty million, eighty-six thousand, four hundred".