76688577252 has 144 divisors (see below), whose sum is σ = 239814933120. Its totient is φ = 20757736512.

The previous prime is 76688577197. The next prime is 76688577283. The reversal of 76688577252 is 25277588667.

76688577252 is a `hidden beast` number, since 7 + 6 + 6 + 8 + 8 + 577 + 2 + 52 = 666.

It is a super-2 number, since 2×76688577252² (a number of 23 digits) contains 22 as substring.

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 76688577252.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132418 + ... + 413414.

It is an arithmetic number, because the mean of its divisors is an integer number (1665381480).

Almost surely, 2^76688577252 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 76688577252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119907466560).

76688577252 is an abundant number, since it is smaller than the sum of its proper divisors (163126355868).

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

76688577252 is a wasteful number, since it uses less digits than its factorization.

76688577252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281055 (or 281028 counting only the distinct ones).

The product of its digits is 79027200, while the sum is 63.

The spelling of 76688577252 in words is "seventy-six billion, six hundred eighty-eight million, five hundred seventy-seven thousand, two hundred fifty-two".