77485968 has 60 divisors (see below), whose sum is σ = 247835328. Its totient is φ = 22138560.

The previous prime is 77485963. The next prime is 77485987. The reversal of 77485968 is 86958477.

77485968 is a `hidden beast` number, since 7 + 7 + 48 + 596 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (77485963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37428 + ... + 39443.

Almost surely, 2^77485968 is an apocalyptic number.

It is an amenable number.

77485968 is an abundant number, since it is smaller than the sum of its proper divisors (170349360).

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

77485968 is a wasteful number, since it uses less digits than its factorization.

77485968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76892 (or 76883 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The square root of 77485968 is about 8802.6114307062. The cubic root of 77485968 is about 426.3252161851.

The spelling of 77485968 in words is "seventy-seven million, four hundred eighty-five thousand, nine hundred sixty-eight".