882081792 has 128 divisors (see below), whose sum is σ = 2616157200. Its totient is φ = 293732352.

The previous prime is 882081787. The next prime is 882081797. The reversal of 882081792 is 297180288.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (882081787) and next prime (882081797).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (882081797) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 884238 + ... + 885234.

Almost surely, 2^882081792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 882081792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308078600).

882081792 is an abundant number, since it is smaller than the sum of its proper divisors (1734075408).

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

882081792 is an frugal number, since it uses more digits than its factorization.

882081792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 882081792 is about 29699.8618178604. The cubic root of 882081792 is about 959.0390383968.

It can be divided in two parts, 88208 and 1792, that added together give a square (90000 = 300²).

The spelling of 882081792 in words is "eight hundred eighty-two million, eighty-one thousand, seven hundred ninety-two".