76129956 has 144 divisors (see below), whose sum is σ = 232866816. Its totient is φ = 21298464.

The previous prime is 76129951. The next prime is 76129967. The reversal of 76129956 is 65992167.

It is a happy number.

76129956 is nontrivially palindromic in base 8.

It is not an unprimeable number, because it can be changed into a prime (76129951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 455785 + ... + 455951.

Almost surely, 2^76129956 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 76129956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116433408).

76129956 is an abundant number, since it is smaller than the sum of its proper divisors (156736860).

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

76129956 is a wasteful number, since it uses less digits than its factorization.

76129956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 246 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 76129956 is about 8725.2481913124. The cubic root of 76129956 is about 423.8236554557.

The spelling of 76129956 in words is "seventy-six million, one hundred twenty-nine thousand, nine hundred fifty-six".