78464 has 16 divisors (see below), whose sum is σ = 156570. Its totient is φ = 39168.

The previous prime is 78439. The next prime is 78467. The reversal of 78464 is 46487.

It can be written as a sum of positive squares in only one way, i.e., 78400 + 64 = 280^2 + 8^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is not an unprimeable number, because it can be changed into a prime (78467) by changing a digit.

78464 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 179 + ... + 434.

2⁷⁸⁴⁶⁴ is an apocalyptic number.

It is an amenable number.

78464 is a deficient number, since it is larger than the sum of its proper divisors (78106).

78464 is an equidigital number, since it uses as much as digits as its factorization.

78464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 615 counting only the distinct ones).

The product of its digits is 5376, while the sum is 29.

The square root of 78464 is about 280.1142624002. The cubic root of 78464 is about 42.8111421773.

It can be divided in two parts, 784 and 64, that multiplied together give a square (50176 = 224²).

The spelling of 78464 in words is "seventy-eight thousand, four hundred sixty-four".