875738880 has 216 divisors, whose sum is σ = 3190234320. Its totient is φ = 221184000.

The previous prime is 875738849. The next prime is 875738887. The reversal of 875738880 is 88837578.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (875738887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216880 + ... + 220880.

Almost surely, 2^875738880 is an apocalyptic number.

875738880 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 875738880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595117160).

875738880 is an abundant number, since it is smaller than the sum of its proper divisors (2314495440).

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

875738880 is a wasteful number, since it uses less digits than its factorization.

875738880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4047 (or 4030 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The square root of 875738880 is about 29592.8856315162. The cubic root of 875738880 is about 956.7347397539.

The spelling of 875738880 in words is "eight hundred seventy-five million, seven hundred thirty-eight thousand, eight hundred eighty".