80806400 has 120 divisors (see below), whose sum is σ = 205500240. Its totient is φ = 31477760.

The previous prime is 80806379. The next prime is 80806463. The reversal of 80806400 is 460808.

It is a self number, because there is not a number n which added to its sum of digits gives 80806400.

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, 755147 + ... + 755253.

It is an arithmetic number, because the mean of its divisors is an integer number (1712502).

Almost surely, 2^80806400 is an apocalyptic number.

80806400 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 80806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102750120).

80806400 is an abundant number, since it is smaller than the sum of its proper divisors (124693840).

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

80806400 is a wasteful number, since it uses less digits than its factorization.

80806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 173 counting only the distinct ones).

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

The square root of 80806400 is about 8989.2380099762. The cubic root of 80806400 is about 432.3298806366.

The spelling of 80806400 in words is "eighty million, eight hundred six thousand, four hundred".