76066816 has 78 divisors (see below), whose sum is σ = 177417060. Its totient is φ = 32514048.

The previous prime is 76066813. The next prime is 76066843. The reversal of 76066816 is 61866067.

It is not an unprimeable number, because it can be changed into a prime (76066813) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 200515 + ... + 200893.

Almost surely, 2^76066816 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 76066816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88708530).

76066816 is an abundant number, since it is smaller than the sum of its proper divisors (101350244).

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

76066816 is an equidigital number, since it uses as much as digits as its factorization.

76066816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 76066816 is about 8721.6292056014. The cubic root of 76066816 is about 423.7064539909.

It can be divided in two parts, 760 and 66816, that added together give a palindrome (67576).

The spelling of 76066816 in words is "seventy-six million, sixty-six thousand, eight hundred sixteen".