76612320 has 144 divisors (see below), whose sum is σ = 265002192. Its totient is φ = 20152320.

The previous prime is 76612309. The next prime is 76612339. The reversal of 76612320 is 2321667.

76612320 = 321² + 322² + ... + 640².

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119200 + ... + 119840.

It is an arithmetic number, because the mean of its divisors is an integer number (1840293).

Almost surely, 2^76612320 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 76612320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132501096).

76612320 is an abundant number, since it is smaller than the sum of its proper divisors (188389872).

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

76612320 is a wasteful number, since it uses less digits than its factorization.

76612320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 76612320 is about 8752.8463941737. The cubic root of 76612320 is about 424.7168956566.

Adding to 76612320 its reverse (2321667), we get a palindrome (78933987).

The spelling of 76612320 in words is "seventy-six million, six hundred twelve thousand, three hundred twenty".