8266800 has 90 divisors (see below), whose sum is σ = 26804212. Its totient is φ = 2177920.

The previous prime is 8266759. The next prime is 8266807. The reversal of 8266800 is 86628.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (8266807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 99559 + ... + 99641.

Almost surely, 2^8266800 is an apocalyptic number.

8266800 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 8266800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13402106).

8266800 is an abundant number, since it is smaller than the sum of its proper divisors (18537412).

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

8266800 is a wasteful number, since it uses less digits than its factorization.

8266800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 8266800 is about 2875.2043405643. The cubic root of 8266800 is about 202.1990652727.

It can be divided in two parts, 826 and 6800, that added together give a triangular number (7626 = T₁₂₃).

The spelling of 8266800 in words is "eight million, two hundred sixty-six thousand, eight hundred".