8000240976 has 270 divisors, whose sum is σ = 28206780030. Its totient is φ = 2109639168.

The previous prime is 8000240887. The next prime is 8000240977. The reversal of 8000240976 is 6790420008.

It can be written as a sum of positive squares in 3 ways, for example, as 57153600 + 7943087376 = 7560^2 + 89124^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 8000240976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8000240977) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1189110 + ... + 1195818.

Almost surely, 2^8000240976 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 8000240976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14103390015).

8000240976 is an abundant number, since it is smaller than the sum of its proper divisors (20206539054).

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

8000240976 is a wasteful number, since it uses less digits than its factorization.

8000240976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6763 (or 6734 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 8000240976 is about 89444.0661866398. The cubic root of 8000240976 is about 2000.0200811317.

The spelling of 8000240976 in words is "eight billion, two hundred forty thousand, nine hundred seventy-six".