7977760560 has 720 divisors, whose sum is σ = 34659379872. Its totient is φ = 1625702400.

The previous prime is 7977760547. The next prime is 7977760633. The reversal of 7977760560 is 650677797.

7977760560 is a `hidden beast` number, since 7 + 9 + 7 + 7 + 76 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a junction number, because it is equal to n+sod(n) for n = 7977760497 and 7977760506.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23672712 + ... + 23673048.

Almost surely, 2^7977760560 is an apocalyptic number.

7977760560 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 7977760560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17329689936).

7977760560 is an abundant number, since it is smaller than the sum of its proper divisors (26681619312).

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

7977760560 is a wasteful number, since it uses less digits than its factorization.

7977760560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 3889620, while the sum is 54.

The square root of 7977760560 is about 89318.3103288458. The cubic root of 7977760560 is about 1998.1449933404.

The spelling of 7977760560 in words is "seven billion, nine hundred seventy-seven million, seven hundred sixty thousand, five hundred sixty".