76147776 has 140 divisors (see below), whose sum is σ = 232410508. Its totient is φ = 24634368.

The previous prime is 76147741. The next prime is 76147781. The reversal of 76147776 is 67774167.

It can be written as a sum of positive squares in 2 ways, for example, as 60466176 + 15681600 = 7776^2 + 3960^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 191610 + ... + 192006.

Almost surely, 2^76147776 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 76147776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116205254).

76147776 is an abundant number, since it is smaller than the sum of its proper divisors (156262732).

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

76147776 is a wasteful number, since it uses less digits than its factorization.

76147776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 439 counting only the distinct ones).

The product of its digits is 345744, while the sum is 45.

The square root of 76147776 is about 8726.2693059520. The cubic root of 76147776 is about 423.8567214949.

The spelling of 76147776 in words is "seventy-six million, one hundred forty-seven thousand, seven hundred seventy-six".