8270800 has 120 divisors (see below), whose sum is σ = 22141440. Its totient is φ = 2956800.

The previous prime is 8270791. The next prime is 8270803. The reversal of 8270800 is 80728.

It is a super-2 number, since 2×8270800² = 136812265280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8270803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 266785 + ... + 266815.

It is an arithmetic number, because the mean of its divisors is an integer number (184512).

Almost surely, 2^8270800 is an apocalyptic number.

8270800 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 8270800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11070720).

8270800 is an abundant number, since it is smaller than the sum of its proper divisors (13870640).

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

8270800 is a wasteful number, since it uses less digits than its factorization.

8270800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 8270800 is about 2875.8998591745. The cubic root of 8270800 is about 202.2316722406.

The spelling of 8270800 in words is "eight million, two hundred seventy thousand, eight hundred".