76329216 has 126 divisors (see below), whose sum is σ = 228994430. Its totient is φ = 25380864.

The previous prime is 76329193. The next prime is 76329217. The reversal of 76329216 is 61292367.

76329216 is a `hidden beast` number, since 7 + 632 + 9 + 2 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 74649600 + 1679616 = 8640^2 + 1296^2 .

It is a super-2 number, since 2×76329216² = 11652298430349312, which contains 22 as substring.

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

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

It is not an unprimeable number, because it can be changed into a prime (76329217) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 186420 + ... + 186828.

Almost surely, 2^76329216 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 76329216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114497215).

76329216 is an abundant number, since it is smaller than the sum of its proper divisors (152665214).

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

76329216 is an frugal number, since it uses more digits than its factorization.

76329216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 414 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 76329216 is about 8736.6593157797. The cubic root of 76329216 is about 424.1931006042.

The spelling of 76329216 in words is "seventy-six million, three hundred twenty-nine thousand, two hundred sixteen".