78609960 has 256 divisors, whose sum is σ = 308448000. Its totient is φ = 17556480.

The previous prime is 78609959. The next prime is 78609983. The reversal of 78609960 is 6990687.

It is a super-2 number, since 2×78609960² = 12359051622403200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 154186 + ... + 154694.

It is an arithmetic number, because the mean of its divisors is an integer number (1204875).

Almost surely, 2^78609960 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 78609960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154224000).

78609960 is an abundant number, since it is smaller than the sum of its proper divisors (229838040).

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

78609960 is a wasteful number, since it uses less digits than its factorization.

78609960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 78609960 is about 8866.2258035762. The cubic root of 78609960 is about 428.3767172652.

The spelling of 78609960 in words is "seventy-eight million, six hundred nine thousand, nine hundred sixty".