8120376000 has 336 divisors, whose sum is σ = 31691750688. Its totient is φ = 1968384000.

The previous prime is 8120375987. The next prime is 8120376013. The reversal of 8120376000 is 6730218.

8120376000 is a `hidden beast` number, since 8 + 1 + 20 + 37 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8120375987) and next prime (8120376013).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 786874 + ... + 797126.

Almost surely, 2^8120376000 is an apocalyptic number.

8120376000 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 8120376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15845875344).

8120376000 is an abundant number, since it is smaller than the sum of its proper divisors (23571374688).

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

8120376000 is a wasteful number, since it uses less digits than its factorization.

8120376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10297 (or 10274 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 8120376000 is about 90113.1288991787. The cubic root of 8120376000 is about 2009.9814359316.

The spelling of 8120376000 in words is "eight billion, one hundred twenty million, three hundred seventy-six thousand".