7760617680 has 160 divisors (see below), whose sum is σ = 25154032896. Its totient is φ = 1975570432.

The previous prime is 7760617679. The next prime is 7760617681. The reversal of 7760617680 is 867160677.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7760617679) and next prime (7760617681).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7760617681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3603484 + ... + 3605636.

Almost surely, 2^7760617680 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 7760617680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12577016448).

7760617680 is an abundant number, since it is smaller than the sum of its proper divisors (17393415216).

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

7760617680 is a wasteful number, since it uses less digits than its factorization.

7760617680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2845 (or 2839 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 48.

The square root of 7760617680 is about 88094.3680379172. The cubic root of 7760617680 is about 1979.8491263470.

The spelling of 7760617680 in words is "seven billion, seven hundred sixty million, six hundred seventeen thousand, six hundred eighty".