76076320 has 48 divisors (see below), whose sum is σ = 184129848. Its totient is φ = 29685760.

The previous prime is 76076317. The next prime is 76076321. The reversal of 76076320 is 2367067.

It can be written as a sum of positive squares in 4 ways, for example, as 56610576 + 19465744 = 7524^2 + 4412^2 .

It is not an unprimeable number, because it can be changed into a prime (76076321) 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, 762 + ... + 12358.

Almost surely, 2^76076320 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 76076320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92064924).

76076320 is an abundant number, since it is smaller than the sum of its proper divisors (108053528).

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

76076320 is a wasteful number, since it uses less digits than its factorization.

76076320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11653 (or 11645 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 31.

The square root of 76076320 is about 8722.1740409143. The cubic root of 76076320 is about 423.7240996111.

The spelling of 76076320 in words is "seventy-six million, seventy-six thousand, three hundred twenty".