76116276 has 72 divisors (see below), whose sum is σ = 204913800. Its totient is φ = 23740416.

The previous prime is 76116251. The next prime is 76116277. The reversal of 76116276 is 67261167.

It can be written as a sum of positive squares in 4 ways, for example, as 12531600 + 63584676 = 3540^2 + 7974^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 76116276.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76116277) 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 23 ways as a sum of consecutive naturals, for example, 169300 + ... + 169748.

It is an arithmetic number, because the mean of its divisors is an integer number (2846025).

Almost surely, 2^76116276 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 76116276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102456900).

76116276 is an abundant number, since it is smaller than the sum of its proper divisors (128797524).

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

76116276 is a wasteful number, since it uses less digits than its factorization.

76116276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 748 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 76116276 is about 8724.4642242375. The cubic root of 76116276 is about 423.7982679244.

The spelling of 76116276 in words is "seventy-six million, one hundred sixteen thousand, two hundred seventy-six".