8280900 has 72 divisors (see below), whose sum is σ = 26630240. Its totient is φ = 2207520.

The previous prime is 8280841. The next prime is 8280911. The reversal of 8280900 is 90828.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is an unprimeable number.

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, 1167 + ... + 4233.

Almost surely, 2^8280900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8280900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13315120).

8280900 is an abundant number, since it is smaller than the sum of its proper divisors (18349340).

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

8280900 is a wasteful number, since it uses less digits than its factorization.

8280900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3090 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 8280900 is about 2877.6552955488. The cubic root of 8280900 is about 202.3139580746.

It can be divided in two parts, 8280 and 900, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 8280900 in words is "eight million, two hundred eighty thousand, nine hundred".