8259880 has 32 divisors (see below), whose sum is σ = 19090440. Its totient is φ = 3214080.

The previous prime is 8259871. The next prime is 8259887. The reversal of 8259880 is 889528.

8259880 = T₄₃₅ + T₄₃₆ + ... + T₅₀₈.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7387524 + 872356 = 2718^2 + 934^2 .

It is a super-2 number, since 2×8259880² = 136451235228800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (8259887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1311 + ... + 4270.

Almost surely, 2^8259880 is an apocalyptic number.

It is an amenable number.

8259880 is an abundant number, since it is smaller than the sum of its proper divisors (10830560).

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

8259880 is a wasteful number, since it uses less digits than its factorization.

8259880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5629 (or 5625 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 40.

The square root of 8259880 is about 2874.0006958941. Note that the first 3 decimals coincide. The cubic root of 8259880 is about 202.1426303711.

The spelling of 8259880 in words is "eight million, two hundred fifty-nine thousand, eight hundred eighty".