882034000 has 80 divisors (see below), whose sum is σ = 2141090640. Its totient is φ = 351436800.

The previous prime is 882033949. The next prime is 882034019. The reversal of 882034000 is 430288.

It can be written as a sum of positive squares in 8 ways, for example, as 816359184 + 65674816 = 28572^2 + 8104^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 625296 + ... + 626704.

It is an arithmetic number, because the mean of its divisors is an integer number (26763633).

Almost surely, 2^882034000 is an apocalyptic number.

882034000 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 882034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070545320).

882034000 is an abundant number, since it is smaller than the sum of its proper divisors (1259056640).

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

882034000 is a wasteful number, since it uses less digits than its factorization.

882034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1745 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 882034000 is about 29699.0572240938. The cubic root of 882034000 is about 959.0217175459.

Adding to 882034000 its reverse (430288), we get a palindrome (882464288).

The spelling of 882034000 in words is "eight hundred eighty-two million, thirty-four thousand".