76988685312 has 1056 divisors, whose sum is σ = 297975075840. Its totient is φ = 18555863040.

The previous prime is 76988685271. The next prime is 76988685317. The reversal of 76988685312 is 21358688967.

76988685312 is a `hidden beast` number, since 7 + 6 + 98 + 8 + 6 + 8 + 531 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is a self number, because there is not a number n which added to its sum of digits gives 76988685312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76988685317) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 865041364 + ... + 865041452.

Almost surely, 2^76988685312 is an apocalyptic number.

76988685312 is a gapful number since it is divisible by the number (72) 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 76988685312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148987537920).

76988685312 is an abundant number, since it is smaller than the sum of its proper divisors (220986390528).

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

76988685312 is a wasteful number, since it uses less digits than its factorization.

76988685312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 188 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 76988685312 in words is "seventy-six billion, nine hundred eighty-eight million, six hundred eighty-five thousand, three hundred twelve".