78015960 has 240 divisors, whose sum is σ = 289674000. Its totient is φ = 18817920.

The previous prime is 78015937. The next prime is 78015979. The reversal of 78015960 is 6951087.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 391941 + ... + 392139.

It is an arithmetic number, because the mean of its divisors is an integer number (1206975).

Almost surely, 2^78015960 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 78015960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144837000).

78015960 is an abundant number, since it is smaller than the sum of its proper divisors (211658040).

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

78015960 is a wasteful number, since it uses less digits than its factorization.

78015960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 78015960 is about 8832.6643771854. The cubic root of 78015960 is about 427.2950079057.

The spelling of 78015960 in words is "seventy-eight million, fifteen thousand, nine hundred sixty".