76601312 has 48 divisors (see below), whose sum is σ = 159642000. Its totient is φ = 36180864.

The previous prime is 76601311. The next prime is 76601381. The reversal of 76601312 is 21310667.

It is a super-3 number, since 3×76601312³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76601311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 219314 + ... + 219662.

It is an arithmetic number, because the mean of its divisors is an integer number (3325875).

Almost surely, 2^76601312 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 76601312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79821000).

76601312 is an abundant number, since it is smaller than the sum of its proper divisors (83040688).

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

76601312 is an equidigital number, since it uses as much as digits as its factorization.

76601312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 76601312 is about 8752.2175475704. The cubic root of 76601312 is about 424.6965529426.

Adding to 76601312 its reverse (21310667), we get a palindrome (97911979).

The spelling of 76601312 in words is "seventy-six million, six hundred one thousand, three hundred twelve".