76986511560 has 640 divisors, whose sum is σ = 303128812800. Its totient is φ = 17232860160.

The previous prime is 76986511543. The next prime is 76986511571. The reversal of 76986511560 is 6511568967.

76986511560 is a `hidden beast` number, since 7 + 6 + 9 + 8 + 65 + 11 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 76986511497 and 76986511506.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 336185526 + ... + 336185754.

It is an arithmetic number, because the mean of its divisors is an integer number (473638770).

Almost surely, 2^76986511560 is an apocalyptic number.

76986511560 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 76986511560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151564406400).

76986511560 is an abundant number, since it is smaller than the sum of its proper divisors (226142301240).

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

76986511560 is an equidigital number, since it uses as much as digits as its factorization.

76986511560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 76986511560 in words is "seventy-six billion, nine hundred eighty-six million, five hundred eleven thousand, five hundred sixty".