78480360 has 192 divisors, whose sum is σ = 304516800. Its totient is φ = 17926272.

The previous prime is 78480349. The next prime is 78480379. The reversal of 78480360 is 6308487.

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 47 ways as a sum of consecutive naturals, for example, 52179 + ... + 53661.

It is an arithmetic number, because the mean of its divisors is an integer number (1586025).

Almost surely, 2^78480360 is an apocalyptic number.

78480360 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 78480360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152258400).

78480360 is an abundant number, since it is smaller than the sum of its proper divisors (226036440).

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

78480360 is a wasteful number, since it uses less digits than its factorization.

78480360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517 (or 1500 counting only the distinct ones).

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

The square root of 78480360 is about 8858.9141546806. The cubic root of 78480360 is about 428.1411739143.

The spelling of 78480360 in words is "seventy-eight million, four hundred eighty thousand, three hundred sixty".