107882880 has 256 divisors, whose sum is σ = 411264000. Its totient is φ = 23519232.

The previous prime is 107882851. The next prime is 107882891. The reversal of 107882880 is 88288701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 308946 + ... + 309294.

It is an arithmetic number, because the mean of its divisors is an integer number (1606500).

Almost surely, 2^107882880 is an apocalyptic number.

107882880 is a gapful number since it is divisible by the number (10) 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 107882880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205632000).

107882880 is an abundant number, since it is smaller than the sum of its proper divisors (303381120).

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

107882880 is a wasteful number, since it uses less digits than its factorization.

107882880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 42.

The square root of 107882880 is about 10386.6683782626. The cubic root of 107882880 is about 476.0481085006.

The spelling of 107882880 in words is "one hundred seven million, eight hundred eighty-two thousand, eight hundred eighty".