76105128 has 96 divisors (see below), whose sum is σ = 212587200. Its totient is φ = 22682880.

The previous prime is 76105097. The next prime is 76105129. The reversal of 76105128 is 82150167.

It is a junction number, because it is equal to n+sod(n) for n = 76105095 and 76105104.

It is not an unprimeable number, because it can be changed into a prime (76105129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211813 + ... + 212171.

It is an arithmetic number, because the mean of its divisors is an integer number (2214450).

Almost surely, 2^76105128 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 76105128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106293600).

76105128 is an abundant number, since it is smaller than the sum of its proper divisors (136482072).

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

76105128 is a wasteful number, since it uses less digits than its factorization.

76105128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 76105128 is about 8723.8253077420. The cubic root of 76105128 is about 423.7775770638. Note that the first 3 decimals are identical.

The spelling of 76105128 in words is "seventy-six million, one hundred five thousand, one hundred twenty-eight".