882405120 has 288 divisors, whose sum is σ = 2999872512. Its totient is φ = 220594176.

The previous prime is 882405113. The next prime is 882405137. The reversal of 882405120 is 21504288.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 8566989 + ... + 8567091.

It is an arithmetic number, because the mean of its divisors is an integer number (10416224).

Almost surely, 2^882405120 is an apocalyptic number.

882405120 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 882405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499936256).

882405120 is an abundant number, since it is smaller than the sum of its proper divisors (2117467392).

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

882405120 is a wasteful number, since it uses less digits than its factorization.

882405120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 882405120 is about 29705.3045767923. The cubic root of 882405120 is about 959.1562030020.

The spelling of 882405120 in words is "eight hundred eighty-two million, four hundred five thousand, one hundred twenty".