10076823792 has 200 divisors, whose sum is σ = 34407892992. Its totient is φ = 2786140800.

The previous prime is 10076823791. The next prime is 10076823817. The reversal of 10076823792 is 29732867001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10076823791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 263317 + ... + 299147.

Almost surely, 2^10076823792 is an apocalyptic number.

10076823792 is a gapful number since it is divisible by the number (12) 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 10076823792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17203946496).

10076823792 is an abundant number, since it is smaller than the sum of its proper divisors (24331069200).

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

10076823792 is a wasteful number, since it uses less digits than its factorization.

10076823792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35889 (or 35874 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 10076823792 in words is "ten billion, seventy-six million, eight hundred twenty-three thousand, seven hundred ninety-two".