8140800 has 144 divisors (see below), whose sum is σ = 27420120. Its totient is φ = 2129920.

The previous prime is 8140771. The next prime is 8140829. The reversal of 8140800 is 80418.

It is an interprime number because it is at equal distance from previous prime (8140771) and next prime (8140829).

It is a zygodrome in base 2.

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, 153574 + ... + 153626.

Almost surely, 2^8140800 is an apocalyptic number.

8140800 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 8140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13710060).

8140800 is an abundant number, since it is smaller than the sum of its proper divisors (19279320).

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

8140800 is a wasteful number, since it uses less digits than its factorization.

8140800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 8140800 is about 2853.2087200203. The cubic root of 8140800 is about 201.1665163040.

The spelling of 8140800 in words is "eight million, one hundred forty thousand, eight hundred".