78465960 has 192 divisors, whose sum is σ = 269568000. Its totient is φ = 19768320.

The previous prime is 78465901. The next prime is 78465973. The reversal of 78465960 is 6956487.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 881596 + ... + 881684.

It is an arithmetic number, because the mean of its divisors is an integer number (1404000).

Almost surely, 2^78465960 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 78465960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134784000).

78465960 is an abundant number, since it is smaller than the sum of its proper divisors (191102040).

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

78465960 is a wasteful number, since it uses less digits than its factorization.

78465960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 78465960 is about 8858.1013767060. The cubic root of 78465960 is about 428.1149864282.

The spelling of 78465960 in words is "seventy-eight million, four hundred sixty-five thousand, nine hundred sixty".