76216896 has 112 divisors (see below), whose sum is σ = 256113280. Its totient is φ = 21772800.

The previous prime is 76216883. The next prime is 76216913. The reversal of 76216896 is 69861267.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8946 + ... + 15246.

Almost surely, 2^76216896 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 76216896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128056640).

76216896 is an abundant number, since it is smaller than the sum of its proper divisors (179896384).

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

76216896 is a wasteful number, since it uses less digits than its factorization.

76216896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6329 (or 6313 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 76216896 is about 8730.2288629795. The cubic root of 76216896 is about 423.9849288579.

The spelling of 76216896 in words is "seventy-six million, two hundred sixteen thousand, eight hundred ninety-six".