8290080 has 192 divisors, whose sum is σ = 30844800. Its totient is φ = 2073600.

The previous prime is 8290069. The next prime is 8290081. The reversal of 8290080 is 800928.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8290081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82030 + ... + 82130.

It is an arithmetic number, because the mean of its divisors is an integer number (160650).

Almost surely, 2^8290080 is an apocalyptic number.

8290080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8290080 is the 1440-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8290080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15422400).

8290080 is an abundant number, since it is smaller than the sum of its proper divisors (22554720).

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

8290080 is a wasteful number, since it uses less digits than its factorization.

8290080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 130 counting only the distinct ones).

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

The square root of 8290080 is about 2879.2499023183. The cubic root of 8290080 is about 202.3886905417.

The spelling of 8290080 in words is "eight million, two hundred ninety thousand, eighty".