8340072976 has 75 divisors (see below), whose sum is σ = 17388887691. Its totient is φ = 3875059968.

The previous prime is 8340072919. The next prime is 8340072991. The reversal of 8340072976 is 6792700438.

The square root of 8340072976 is 91324.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 2588367376 + 5751705600 = 50876^2 + 75840^2 .

It is a super-3 number, since 3×8340072976³ (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 105570505 + ... + 105570583.

Almost surely, 2^8340072976 is an apocalyptic number.

8340072976 is the 91324-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8340072976

8340072976 is an abundant number, since it is smaller than the sum of its proper divisors (9048814715).

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

8340072976 is an frugal number, since it uses more digits than its factorization.

8340072976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 46.

The cubic root of 8340072976 is about 2027.9470761540.

The spelling of 8340072976 in words is "eight billion, three hundred forty million, seventy-two thousand, nine hundred seventy-six".