8272080 has 60 divisors (see below), whose sum is σ = 27782820. Its totient is φ = 2205696.

The previous prime is 8272073. The next prime is 8272091. The reversal of 8272080 is 802728.

It can be written as a sum of positive squares in 2 ways, for example, as 2396304 + 5875776 = 1548^2 + 2424^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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, 5025 + ... + 6464.

It is an arithmetic number, because the mean of its divisors is an integer number (463047).

Almost surely, 2^8272080 is an apocalyptic number.

8272080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8272080 is an abundant number, since it is smaller than the sum of its proper divisors (19510740).

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

8272080 is a wasteful number, since it uses less digits than its factorization.

8272080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11508 (or 11499 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 8272080 is about 2876.1223896072. The cubic root of 8272080 is about 202.2421042499.

The spelling of 8272080 in words is "eight million, two hundred seventy-two thousand, eighty".