76383216 has 320 divisors, whose sum is σ = 283315200. Its totient is φ = 19160064.

The previous prime is 76383137. The next prime is 76383217. The reversal of 76383216 is 61238367.

It is a happy number.

76383216 is a `hidden beast` number, since 7 + 638 + 3 + 2 + 16 = 666.

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

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76383217) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1140015 + ... + 1140081.

It is an arithmetic number, because the mean of its divisors is an integer number (885360).

Almost surely, 2^76383216 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 76383216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141657600).

76383216 is an abundant number, since it is smaller than the sum of its proper divisors (206931984).

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

76383216 is a wasteful number, since it uses less digits than its factorization.

76383216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 121 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 76383216 is about 8739.7491954861. The cubic root of 76383216 is about 424.2931104866.

The spelling of 76383216 in words is "seventy-six million, three hundred eighty-three thousand, two hundred sixteen".