8072763000 has 128 divisors (see below), whose sum is σ = 25563582720. Its totient is φ = 2120553600.

The previous prime is 8072762993. The next prime is 8072763007. The reversal of 8072763000 is 3672708.

It is an interprime number because it is at equal distance from previous prime (8072762993) and next prime (8072763007).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8072763007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180919 + ... + 221081.

It is an arithmetic number, because the mean of its divisors is an integer number (199715490).

Almost surely, 2^8072763000 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 8072763000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12781791360).

8072763000 is an abundant number, since it is smaller than the sum of its proper divisors (17490819720).

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

8072763000 is a wasteful number, since it uses less digits than its factorization.

8072763000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40254 (or 40240 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 8072763000 is about 89848.5559149394. Note that the first 3 decimals coincide. The cubic root of 8072763000 is about 2006.0452921441.

The spelling of 8072763000 in words is "eight billion, seventy-two million, seven hundred sixty-three thousand".