76889217132 has 288 divisors, whose sum is σ = 242969126400. Its totient is φ = 19962049536.

The previous prime is 76889217089. The next prime is 76889217133. The reversal of 76889217132 is 23171298867.

It is a happy number.

It is a super-2 number, since 2×76889217132² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (76889217133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89509719 + ... + 89510577.

It is an arithmetic number, because the mean of its divisors is an integer number (843642800).

Almost surely, 2^76889217132 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 76889217132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121484563200).

76889217132 is an abundant number, since it is smaller than the sum of its proper divisors (166079909268).

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

76889217132 is a wasteful number, since it uses less digits than its factorization.

76889217132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1280 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The spelling of 76889217132 in words is "seventy-six billion, eight hundred eighty-nine million, two hundred seventeen thousand, one hundred thirty-two".