78306480 has 160 divisors (see below), whose sum is σ = 308313600. Its totient is φ = 17895168.

The previous prime is 78306463. The next prime is 78306497. The reversal of 78306480 is 8460387.

78306480 is a `hidden beast` number, since 7 + 8 + 3 + 0 + 648 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (78306463) and next prime (78306497).

It is a super-2 number, since 2×78306480² = 12263809619980800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 12531 + ... + 17709.

It is an arithmetic number, because the mean of its divisors is an integer number (1926960).

Almost surely, 2^78306480 is an apocalyptic number.

78306480 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78306480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154156800).

78306480 is an abundant number, since it is smaller than the sum of its proper divisors (230007120).

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

78306480 is a wasteful number, since it uses less digits than its factorization.

78306480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5208 (or 5196 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 78306480 is about 8849.0948689682. The cubic root of 78306480 is about 427.8247455536.

The spelling of 78306480 in words is "seventy-eight million, three hundred six thousand, four hundred eighty".