8125696800 has 216 divisors, whose sum is σ = 30857689044. Its totient is φ = 2000148480.

The previous prime is 8125696757. The next prime is 8125696811. The reversal of 8125696800 is 86965218.

8125696800 is a `hidden beast` number, since 8 + 1 + 2 + 569 + 6 + 80 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2284457616 + 5841239184 = 47796^2 + 76428^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50194 + ... + 137006.

Almost surely, 2^8125696800 is an apocalyptic number.

8125696800 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 8125696800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15428844522).

8125696800 is an abundant number, since it is smaller than the sum of its proper divisors (22731992244).

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

8125696800 is a wasteful number, since it uses less digits than its factorization.

8125696800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86852 (or 86836 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 8125696800 is about 90142.6469547017. The cubic root of 8125696800 is about 2010.4203472253.

It can be divided in two parts, 8125696 and 800, that added together give a triangular number (8126496 = T₄₀₃₁).

The spelling of 8125696800 in words is "eight billion, one hundred twenty-five million, six hundred ninety-six thousand, eight hundred".