76126848 has 128 divisors (see below), whose sum is σ = 233963520. Its totient is φ = 21482496.

The previous prime is 76126847. The next prime is 76126859. The reversal of 76126848 is 84862167.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (76126847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 341265 + ... + 341487.

It is an arithmetic number, because the mean of its divisors is an integer number (1827840).

Almost surely, 2^76126848 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 76126848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116981760).

76126848 is an abundant number, since it is smaller than the sum of its proper divisors (157836672).

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

76126848 is a wasteful number, since it uses less digits than its factorization.

76126848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 362 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 76126848 is about 8725.0700856784. The cubic root of 76126848 is about 423.8178878537.

The spelling of 76126848 in words is "seventy-six million, one hundred twenty-six thousand, eight hundred forty-eight".