7077680208 has 210 divisors, whose sum is σ = 21145634874. Its totient is φ = 2293080192.

The previous prime is 7077680191. The next prime is 7077680209. The reversal of 7077680208 is 8020867707.

It can be written as a sum of positive squares in only one way, i.e., 6543515664 + 534164544 = 80892^2 + 23112^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7077680209) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 66146491 + ... + 66146597.

Almost surely, 2^7077680208 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 7077680208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10572817437).

7077680208 is an abundant number, since it is smaller than the sum of its proper divisors (14067954666).

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

7077680208 is an equidigital number, since it uses as much as digits as its factorization.

7077680208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 165 counting only the distinct ones).

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

The square root of 7077680208 is about 84128.9498805257. The cubic root of 7077680208 is about 1919.9812107536.

It can be divided in two parts, 7077680 and 208, that added together give a cube (7077888 = 192³).

The spelling of 7077680208 in words is "seven billion, seventy-seven million, six hundred eighty thousand, two hundred eight".