76941216 has 144 divisors (see below), whose sum is σ = 241768800. Its totient is φ = 23016960.

The previous prime is 76941143. The next prime is 76941217. The reversal of 76941216 is 61214967.

It is a tau number, because it is divible by the number of its divisors (144).

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 (76941217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 471951 + ... + 472113.

It is an arithmetic number, because the mean of its divisors is an integer number (1678950).

Almost surely, 2^76941216 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 76941216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120884400).

76941216 is an abundant number, since it is smaller than the sum of its proper divisors (164827584).

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

76941216 is a wasteful number, since it uses less digits than its factorization.

76941216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 328 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 76941216 is about 8771.6142186031. The cubic root of 76941216 is about 425.3237966129.

The spelling of 76941216 in words is "seventy-six million, nine hundred forty-one thousand, two hundred sixteen".