78480840 has 192 divisors, whose sum is σ = 261711360. Its totient is φ = 18800640.

The previous prime is 78480839. The next prime is 78480841. The reversal of 78480840 is 4808487.

It is an interprime number because it is at equal distance from previous prime (78480839) and next prime (78480841).

It is not an unprimeable number, because it can be changed into a prime (78480841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1075044 + ... + 1075116.

It is an arithmetic number, because the mean of its divisors is an integer number (1363080).

Almost surely, 2^78480840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78480840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130855680).

78480840 is an abundant number, since it is smaller than the sum of its proper divisors (183230520).

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

78480840 is a wasteful number, since it uses less digits than its factorization.

78480840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 78480840 is about 8858.9412459955. The cubic root of 78480840 is about 428.1420467754.

The spelling of 78480840 in words is "seventy-eight million, four hundred eighty thousand, eight hundred forty".