7808290560 has 432 divisors, whose sum is σ = 31721866176. Its totient is φ = 1735852032.

The previous prime is 7808290541. The next prime is 7808290601. The reversal of 7808290560 is 650928087.

7808290560 is a `hidden beast` number, since 7 + 8 + 0 + 82 + 9 + 0 + 560 = 666.

It is a super-2 number, since 2×7808290560² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2982372 + ... + 2984988.

Almost surely, 2^7808290560 is an apocalyptic number.

7808290560 is a gapful number since it is divisible by the number (70) 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 7808290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15860933088).

7808290560 is an abundant number, since it is smaller than the sum of its proper divisors (23913575616).

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

7808290560 is a wasteful number, since it uses less digits than its factorization.

7808290560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2688 (or 2671 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 7808290560 is about 88364.5322513507. The cubic root of 7808290560 is about 1983.8948738956.

The spelling of 7808290560 in words is "seven billion, eight hundred eight million, two hundred ninety thousand, five hundred sixty".