76134080 has 112 divisors (see below), whose sum is σ = 202777344. Its totient is φ = 26987520.

The previous prime is 76134011. The next prime is 76134101. The reversal of 76134080 is 8043167.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 151109 + ... + 151611.

It is an arithmetic number, because the mean of its divisors is an integer number (1810512).

Almost surely, 2^76134080 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 76134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101388672).

76134080 is an abundant number, since it is smaller than the sum of its proper divisors (126643264).

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

76134080 is a wasteful number, since it uses less digits than its factorization.

76134080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 76134080 is about 8725.4845137677. The cubic root of 76134080 is about 423.8313082347.

The spelling of 76134080 in words is "seventy-six million, one hundred thirty-four thousand, eighty".