76005312 has 56 divisors (see below), whose sum is σ = 201753216. Its totient is φ = 25252608.

The previous prime is 76005311. The next prime is 76005323. The reversal of 76005312 is 21350067.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76005311) 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, 96183 + ... + 96969.

It is an arithmetic number, because the mean of its divisors is an integer number (3602736).

Almost surely, 2^76005312 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 76005312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100876608).

76005312 is an abundant number, since it is smaller than the sum of its proper divisors (125747904).

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

76005312 is a wasteful number, since it uses less digits than its factorization.

76005312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 76005312 is about 8718.1025458525. The cubic root of 76005312 is about 423.5922269214.

Adding to 76005312 its reverse (21350067), we get a palindrome (97355379).

The spelling of 76005312 in words is "seventy-six million, five thousand, three hundred twelve".