882875280 has 320 divisors, whose sum is σ = 3488348160. Its totient is φ = 179822592.

The previous prime is 882875267. The next prime is 882875317. The reversal of 882875280 is 82578288.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 541827 + ... + 543453.

It is an arithmetic number, because the mean of its divisors is an integer number (10901088).

Almost surely, 2^882875280 is an apocalyptic number.

882875280 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 882875280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744174080).

882875280 is an abundant number, since it is smaller than the sum of its proper divisors (2605472880).

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

882875280 is a wasteful number, since it uses less digits than its factorization.

882875280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 48.

The square root of 882875280 is about 29713.2172610103. The cubic root of 882875280 is about 959.3265241698.

The spelling of 882875280 in words is "eight hundred eighty-two million, eight hundred seventy-five thousand, two hundred eighty".