77534496 has 216 divisors, whose sum is σ = 251793360. Its totient is φ = 23452416.

The previous prime is 77534491. The next prime is 77534521. The reversal of 77534496 is 69443577.

77534496 is a `hidden beast` number, since 77 + 534 + 49 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is not an unprimeable number, because it can be changed into a prime (77534491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1314115 + ... + 1314173.

It is an arithmetic number, because the mean of its divisors is an integer number (1165710).

Almost surely, 2^77534496 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 77534496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125896680).

77534496 is an abundant number, since it is smaller than the sum of its proper divisors (174258864).

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

77534496 is a wasteful number, since it uses less digits than its factorization.

77534496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 77 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 77534496 is about 8805.3674540021. The cubic root of 77534496 is about 426.4141974254.

The spelling of 77534496 in words is "seventy-seven million, five hundred thirty-four thousand, four hundred ninety-six".