882196480 has 180 divisors, whose sum is σ = 2353325940. Its totient is φ = 317194240.

The previous prime is 882196451. The next prime is 882196493. The reversal of 882196480 is 84691288.

It can be written as a sum of positive squares in 2 ways, for example, as 239878144 + 642318336 = 15488^2 + 25344^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 882196480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9912276 + ... + 9912364.

It is an arithmetic number, because the mean of its divisors is an integer number (13074033).

Almost surely, 2^882196480 is an apocalyptic number.

882196480 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 882196480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176662970).

882196480 is an abundant number, since it is smaller than the sum of its proper divisors (1471129460).

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

882196480 is an equidigital number, since it uses as much as digits as its factorization.

882196480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 46.

The square root of 882196480 is about 29701.7925384984. The cubic root of 882196480 is about 959.0806012479.

The spelling of 882196480 in words is "eight hundred eighty-two million, one hundred ninety-six thousand, four hundred eighty".