8054880 has 96 divisors (see below), whose sum is σ = 25782624. Its totient is φ = 2113536.

The previous prime is 8054869. The next prime is 8054881. The reversal of 8054880 is 884508.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8054881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46474 + ... + 46646.

It is an arithmetic number, because the mean of its divisors is an integer number (268569).

Almost surely, 2^8054880 is an apocalyptic number.

8054880 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 8054880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12891312).

8054880 is an abundant number, since it is smaller than the sum of its proper divisors (17727744).

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

8054880 is a wasteful number, since it uses less digits than its factorization.

8054880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 8054880 is about 2838.1120485280. The cubic root of 8054880 is about 200.4562915318.

The spelling of 8054880 in words is "eight million, fifty-four thousand, eight hundred eighty".