78000960 has 112 divisors (see below), whose sum is σ = 255739392. Its totient is φ = 20121600.

The previous prime is 78000959. The next prime is 78000997. The reversal of 78000960 is 6900087.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28450 + ... + 31070.

Almost surely, 2^78000960 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 78000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127869696).

78000960 is an abundant number, since it is smaller than the sum of its proper divisors (177738432).

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

78000960 is a wasteful number, since it uses less digits than its factorization.

78000960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2672 (or 2662 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 78000960 is about 8831.8152154583. The cubic root of 78000960 is about 427.2676210482.

The spelling of 78000960 in words is "seventy-eight million, nine hundred sixty", and thus it is an aban number.