882487680 has 256 divisors, whose sum is σ = 3137356800. Its totient is φ = 209682432.

The previous prime is 882487631. The next prime is 882487693. The reversal of 882487680 is 86784288.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 619449 + ... + 620871.

It is an arithmetic number, because the mean of its divisors is an integer number (12255300).

Almost surely, 2^882487680 is an apocalyptic number.

882487680 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 882487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568678400).

882487680 is an abundant number, since it is smaller than the sum of its proper divisors (2254869120).

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

882487680 is a wasteful number, since it uses less digits than its factorization.

882487680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 51.

The square root of 882487680 is about 29706.6941950800. The cubic root of 882487680 is about 959.1861157427.

The spelling of 882487680 in words is "eight hundred eighty-two million, four hundred eighty-seven thousand, six hundred eighty".