76686948 has 36 divisors (see below), whose sum is σ = 208760188. Its totient is φ = 23595840.

The previous prime is 76686917. The next prime is 76686971. The reversal of 76686948 is 84968667.

It can be written as a sum of positive squares in 2 ways, for example, as 5419584 + 71267364 = 2328^2 + 8442^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 76686894 and 76686903.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81463 + ... + 82398.

Almost surely, 2^76686948 is an apocalyptic number.

76686948 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

76686948 is an abundant number, since it is smaller than the sum of its proper divisors (132073240).

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

76686948 is a wasteful number, since it uses less digits than its factorization.

76686948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163884 (or 163879 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 76686948 is about 8757.1084268724. The cubic root of 76686948 is about 424.8547563664.

The spelling of 76686948 in words is "seventy-six million, six hundred eighty-six thousand, nine hundred forty-eight".