8076407680 has 256 divisors, whose sum is σ = 22701772800. Its totient is φ = 2716876800.

The previous prime is 8076407671. The next prime is 8076407683. The reversal of 8076407680 is 867046708.

It is a super-2 number, since 2×8076407680² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 8076407680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8076407683) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5018716 + ... + 5020324.

It is an arithmetic number, because the mean of its divisors is an integer number (88678800).

Almost surely, 2^8076407680 is an apocalyptic number.

8076407680 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 8076407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11350886400).

8076407680 is an abundant number, since it is smaller than the sum of its proper divisors (14625365120).

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

8076407680 is a wasteful number, since it uses less digits than its factorization.

8076407680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 46.

The square root of 8076407680 is about 89868.8359777737. The cubic root of 8076407680 is about 2006.3471422508.

The spelling of 8076407680 in words is "eight billion, seventy-six million, four hundred seven thousand, six hundred eighty".