882416640 has 352 divisors, whose sum is σ = 3348564480. Its totient is φ = 194052096.

The previous prime is 882416629. The next prime is 882416653. The reversal of 882416640 is 46614288.

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, 3117939 + ... + 3118221.

Almost surely, 2^882416640 is an apocalyptic number.

882416640 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 882416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674282240).

882416640 is an abundant number, since it is smaller than the sum of its proper divisors (2466147840).

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

882416640 is a wasteful number, since it uses less digits than its factorization.

882416640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 329 counting only the distinct ones).

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

The square root of 882416640 is about 29705.4984809210. The cubic root of 882416640 is about 959.1603769848.

The spelling of 882416640 in words is "eight hundred eighty-two million, four hundred sixteen thousand, six hundred forty".