76947984 has 135 divisors (see below), whose sum is σ = 234203853. Its totient is φ = 23579136.

The previous prime is 76947973. The next prime is 76947989. The reversal of 76947984 is 48974967.

It is a happy number.

The square root of 76947984 is 8772.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 59907600 + 17040384 = 7740^2 + 4128^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 76947984.

It is not an unprimeable number, because it can be changed into a prime (76947989) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1789467 + ... + 1789509.

Almost surely, 2^76947984 is an apocalyptic number.

76947984 is the 8772-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76947984

76947984 is an abundant number, since it is smaller than the sum of its proper divisors (157255869).

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

76947984 is a wasteful number, since it uses less digits than its factorization.

76947984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 65 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The cubic root of 76947984 is about 425.3362672029.

The spelling of 76947984 in words is "seventy-six million, nine hundred forty-seven thousand, nine hundred eighty-four".