76065480 has 160 divisors (see below), whose sum is σ = 270899640. Its totient is φ = 19077120.

The previous prime is 76065467. The next prime is 76065481. The reversal of 76065480 is 8456067.

It is a happy number.

76065480 is a `hidden beast` number, since 7 + 606 + 5 + 48 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 67667076 + 8398404 = 8226^2 + 2898^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (76065481) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 54390 + ... + 55770.

Almost surely, 2^76065480 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 76065480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135449820).

76065480 is an abundant number, since it is smaller than the sum of its proper divisors (194834160).

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

76065480 is a wasteful number, since it uses less digits than its factorization.

76065480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 76065480 is about 8721.5526140705. The cubic root of 76065480 is about 423.7039733860.

The spelling of 76065480 in words is "seventy-six million, sixty-five thousand, four hundred eighty".