76985717760 has 880 divisors, whose sum is σ = 329277079296. Its totient is φ = 16817061888.

The previous prime is 76985717713. The next prime is 76985717773. The reversal of 76985717760 is 6771758967.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 66769344 + ... + 66770496.

Almost surely, 2^76985717760 is an apocalyptic number.

76985717760 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 76985717760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164638539648).

76985717760 is an abundant number, since it is smaller than the sum of its proper divisors (252291361536).

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

76985717760 is a wasteful number, since it uses less digits than its factorization.

76985717760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 31116960, while the sum is 63.

The spelling of 76985717760 in words is "seventy-six billion, nine hundred eighty-five million, seven hundred seventeen thousand, seven hundred sixty".