6823076000 has 96 divisors (see below), whose sum is σ = 18053996688. Its totient is φ = 2519270400.

The previous prime is 6823075957. The next prime is 6823076027. The reversal of 6823076000 is 6703286.

It can be written as a sum of positive squares in 8 ways, for example, as 764633104 + 6058442896 = 27652^2 + 77836^2 .

It is a super-2 number, since 2×6823076000² = 93108732203552000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 13607 + ... + 117606.

Almost surely, 2^6823076000 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 6823076000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9026998344).

6823076000 is an abundant number, since it is smaller than the sum of its proper divisors (11230920688).

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

6823076000 is a wasteful number, since it uses less digits than its factorization.

6823076000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131251 (or 131233 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 6823076000 is about 82601.9128107818. The cubic root of 6823076000 is about 1896.6771098408.

Adding to 6823076000 its reverse (6703286), we get a palindrome (6829779286).

The spelling of 6823076000 in words is "six billion, eight hundred twenty-three million, seventy-six thousand".