8122800 has 120 divisors (see below), whose sum is σ = 29767936. Its totient is φ = 1854720.

The previous prime is 8122799. The next prime is 8122819. The reversal of 8122800 is 82218.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7917 + ... + 8883.

Almost surely, 2^8122800 is an apocalyptic number.

8122800 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 8122800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14883968).

8122800 is an abundant number, since it is smaller than the sum of its proper divisors (21645136).

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

8122800 is a wasteful number, since it uses less digits than its factorization.

8122800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 984 counting only the distinct ones).

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

The square root of 8122800 is about 2850.0526310930. The cubic root of 8122800 is about 201.0181414778.

The spelling of 8122800 in words is "eight million, one hundred twenty-two thousand, eight hundred".