8125672000 has 56 divisors (see below), whose sum is σ = 20123246520. Its totient is φ = 3250265600.

The previous prime is 8125671997. The next prime is 8125672007. The reversal of 8125672000 is 2765218.

It can be written as a sum of positive squares in 4 ways, for example, as 170459136 + 7955212864 = 13056^2 + 89192^2 .

It is not an unprimeable number, because it can be changed into a prime (8125672007) 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, 499855 + ... + 515854.

Almost surely, 2^8125672000 is an apocalyptic number.

8125672000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8125672000 is an abundant number, since it is smaller than the sum of its proper divisors (11997574520).

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

8125672000 is a wasteful number, since it uses less digits than its factorization.

8125672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015736 (or 1015716 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 8125672000 is about 90142.5093948466. The cubic root of 8125672000 is about 2010.4183019247.

The spelling of 8125672000 in words is "eight billion, one hundred twenty-five million, six hundred seventy-two thousand".