76767546128 has 160 divisors (see below), whose sum is σ = 188448938496. Its totient is φ = 29479624704.

The previous prime is 76767546113. The next prime is 76767546137. The reversal of 76767546128 is 82164576767.

It is a happy number.

It is a super-3 number, since 3×76767546128³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27096200 + ... + 27099032.

Almost surely, 2^76767546128 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 76767546128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94224469248).

76767546128 is an abundant number, since it is smaller than the sum of its proper divisors (111681392368).

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

76767546128 is a wasteful number, since it uses less digits than its factorization.

76767546128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3401 (or 3395 counting only the distinct ones).

The product of its digits is 23708160, while the sum is 59.

The spelling of 76767546128 in words is "seventy-six billion, seven hundred sixty-seven million, five hundred forty-six thousand, one hundred twenty-eight".