882051840 has 216 divisors, whose sum is σ = 3185451360. Its totient is φ = 224919552.

The previous prime is 882051809. The next prime is 882051847. The reversal of 882051840 is 48150288.

882051840 is a `hidden beast` number, since 88 + 20 + 518 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 882051795 and 882051804.

It is not an unprimeable number, because it can be changed into a prime (882051847) 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, 263296 + ... + 266624.

It is an arithmetic number, because the mean of its divisors is an integer number (14747460).

Almost surely, 2^882051840 is an apocalyptic number.

882051840 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 882051840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592725680).

882051840 is an abundant number, since it is smaller than the sum of its proper divisors (2303399520).

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

882051840 is a wasteful number, since it uses less digits than its factorization.

882051840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3379 (or 3362 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 882051840 is about 29699.3575688095. The cubic root of 882051840 is about 959.0281832196.

The spelling of 882051840 in words is "eight hundred eighty-two million, fifty-one thousand, eight hundred forty".