882436080 has 160 divisors (see below), whose sum is σ = 2859816960. Its totient is φ = 224824320.

The previous prime is 882436073. The next prime is 882436081. The reversal of 882436080 is 80634288.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (882436081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 616806 + ... + 618234.

It is an arithmetic number, because the mean of its divisors is an integer number (17873856).

Almost surely, 2^882436080 is an apocalyptic number.

882436080 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 882436080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429908480).

882436080 is an abundant number, since it is smaller than the sum of its proper divisors (1977380880).

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

882436080 is a wasteful number, since it uses less digits than its factorization.

882436080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1559 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 882436080 is about 29705.8256912680. The cubic root of 882436080 is about 959.1674204984.

The spelling of 882436080 in words is "eight hundred eighty-two million, four hundred thirty-six thousand, eighty".