78305360 has 40 divisors (see below), whose sum is σ = 208070016. Its totient is φ = 26847360.

The previous prime is 78305351. The next prime is 78305369. The reversal of 78305360 is 6350387.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (78305351) and next prime (78305369).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×78305360² = 12263458809459200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78305369) 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 7 ways as a sum of consecutive naturals, for example, 69356 + ... + 70475.

Almost surely, 2^78305360 is an apocalyptic number.

78305360 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

78305360 is an abundant number, since it is smaller than the sum of its proper divisors (129764656).

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

78305360 is a wasteful number, since it uses less digits than its factorization.

78305360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139851 (or 139845 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 78305360 is about 8849.0315854335. The cubic root of 78305360 is about 427.8227058501.

The spelling of 78305360 in words is "seventy-eight million, three hundred five thousand, three hundred sixty".