76947968 has 40 divisors (see below), whose sum is σ = 155009052. Its totient is φ = 38158336.

The previous prime is 76947947. The next prime is 76947973. The reversal of 76947968 is 86974967.

It can be written as a sum of positive squares in 2 ways, for example, as 76597504 + 350464 = 8752^2 + 592^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 69596 + ... + 70692.

Almost surely, 2^76947968 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 76947968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77504526).

76947968 is an abundant number, since it is smaller than the sum of its proper divisors (78061084).

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

76947968 is a wasteful number, since it uses less digits than its factorization.

76947968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1236 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 56.

The square root of 76947968 is about 8771.9990880072. Note that the first 3 decimals coincide. The cubic root of 76947968 is about 425.3362377224.

The spelling of 76947968 in words is "seventy-six million, nine hundred forty-seven thousand, nine hundred sixty-eight".