4083878880 has 288 divisors, whose sum is σ = 14424044544. Its totient is φ = 1051573248.

The previous prime is 4083878863. The next prime is 4083878921. The reversal of 4083878880 is 888783804.

4083878880 is a `hidden beast` number, since 408 + 3 + 87 + 88 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×4083878880³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5617077 + ... + 5617803.

It is an arithmetic number, because the mean of its divisors is an integer number (50083488).

Almost surely, 2^4083878880 is an apocalyptic number.

4083878880 is a gapful number since it is divisible by the number (40) 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 4083878880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7212022272).

4083878880 is an abundant number, since it is smaller than the sum of its proper divisors (10340165664).

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

4083878880 is a wasteful number, since it uses less digits than its factorization.

4083878880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The square root of 4083878880 is about 63905.2335884941. The cubic root of 4083878880 is about 1598.4201697654.

The spelling of 4083878880 in words is "four billion, eighty-three million, eight hundred seventy-eight thousand, eight hundred eighty".