8034880 has 112 divisors (see below), whose sum is σ = 23262336. Its totient is φ = 2580480.

The previous prime is 8034877. The next prime is 8034881. The reversal of 8034880 is 884308.

8034880 is nontrivially palindromic in base 15.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×8034880³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (8034881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37975 + ... + 38185.

Almost surely, 2^8034880 is an apocalyptic number.

8034880 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 8034880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11631168).

8034880 is an abundant number, since it is smaller than the sum of its proper divisors (15227456).

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

8034880 is a wasteful number, since it uses less digits than its factorization.

8034880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 8034880 is about 2834.5863895814. The cubic root of 8034880 is about 200.2902452514.

The spelling of 8034880 in words is "eight million, thirty-four thousand, eight hundred eighty".