76988322627480 has 768 divisors, whose sum is σ = 290223648000000. Its totient is φ = 17492667678720.

The previous prime is 76988322627439. The next prime is 76988322627481. The reversal of 76988322627480 is 8472622388967.

76988322627480 is a `hidden beast` number, since 7 + 6 + 9 + 8 + 83 + 2 + 2 + 62 + 7 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 76988322627399 and 76988322627408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76988322627481) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17702532346 + ... + 17702536694.

It is an arithmetic number, because the mean of its divisors is an integer number (377895375000).

Almost surely, 2^{76988322627480} 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 76988322627480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145111824000000).

76988322627480 is an abundant number, since it is smaller than the sum of its proper divisors (213235325372520).

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

76988322627480 is a wasteful number, since it uses less digits than its factorization.

76988322627480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5432 (or 5425 counting only the distinct ones).

The product of its (nonzero) digits is 780337152, while the sum is 72.

The spelling of 76988322627480 in words is "seventy-six trillion, nine hundred eighty-eight billion, three hundred twenty-two million, six hundred twenty-seven thousand, four hundred eighty".