882478080 has 264 divisors, whose sum is σ = 3337658064. Its totient is φ = 213811200.

The previous prime is 882478073. The next prime is 882478081. The reversal of 882478080 is 80874288.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (882478081) 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, 506010 + ... + 507750.

Almost surely, 2^882478080 is an apocalyptic number.

882478080 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 882478080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668829032).

882478080 is an abundant number, since it is smaller than the sum of its proper divisors (2455179984).

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

882478080 is a wasteful number, since it uses less digits than its factorization.

882478080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 882478080 is about 29706.5326148980. The cubic root of 882478080 is about 959.1826376128.

The spelling of 882478080 in words is "eight hundred eighty-two million, four hundred seventy-eight thousand, eighty".