7805551680 has 168 divisors, whose sum is σ = 27354943512. Its totient is φ = 2042167296.

The previous prime is 7805551639. The next prime is 7805551681. The reversal of 7805551680 is 861555087.

7805551680 is a `hidden beast` number, since 7 + 8 + 0 + 55 + 516 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3172843584 + 4632708096 = 56328^2 + 68064^2 .

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

It is not an unprimeable number, because it can be changed into a prime (7805551681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127072 + ... + 178208.

Almost surely, 2^7805551680 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 7805551680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13677471756).

7805551680 is an abundant number, since it is smaller than the sum of its proper divisors (19549391832).

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

7805551680 is a wasteful number, since it uses less digits than its factorization.

7805551680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51213 (or 51200 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The square root of 7805551680 is about 88349.0332714513. The cubic root of 7805551680 is about 1983.6628860537.

The spelling of 7805551680 in words is "seven billion, eight hundred five million, five hundred fifty-one thousand, six hundred eighty".