8077086720 has 364 divisors, whose sum is σ = 29114385276. Its totient is φ = 2149908480.

The previous prime is 8077086707. The next prime is 8077086811. The reversal of 8077086720 is 276807708.

It can be written as a sum of positive squares in 2 ways, for example, as 3057647616 + 5019439104 = 55296^2 + 70848^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 14929650 + ... + 14930190.

Almost surely, 2^8077086720 is an apocalyptic number.

8077086720 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 8077086720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14557192638).

8077086720 is an abundant number, since it is smaller than the sum of its proper divisors (21037298556).

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

8077086720 is an frugal number, since it uses more digits than its factorization.

8077086720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The square root of 8077086720 is about 89872.6138487137. The cubic root of 8077086720 is about 2006.4033698806.

The spelling of 8077086720 in words is "eight billion, seventy-seven million, eighty-six thousand, seven hundred twenty".