78385056 has 48 divisors (see below), whose sum is σ = 206388000. Its totient is φ = 26048768.

The previous prime is 78385033. The next prime is 78385093. The reversal of 78385056 is 65058387.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×78385056² = 12288434008246272, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 78384999 and 78385017.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 36295 + ... + 38393.

It is an arithmetic number, because the mean of its divisors is an integer number (4299750).

Almost surely, 2^78385056 is an apocalyptic number.

It is an amenable number.

78385056 is an abundant number, since it is smaller than the sum of its proper divisors (128002944).

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

78385056 is a wasteful number, since it uses less digits than its factorization.

78385056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2501 (or 2493 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 78385056 is about 8853.5335318730. The cubic root of 78385056 is about 427.9677968026.

The spelling of 78385056 in words is "seventy-eight million, three hundred eighty-five thousand, fifty-six".