78864000 has 256 divisors, whose sum is σ = 274959360. Its totient is φ = 19968000.

The previous prime is 78863977. The next prime is 78864001. The reversal of 78864000 is 46887.

It is not an unprimeable number, because it can be changed into a prime (78864001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1487974 + ... + 1488026.

It is an arithmetic number, because the mean of its divisors is an integer number (1074060).

Almost surely, 2^78864000 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 78864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137479680).

78864000 is an abundant number, since it is smaller than the sum of its proper divisors (196095360).

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

78864000 is a wasteful number, since it uses less digits than its factorization.

78864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 78864000 is about 8880.5405240897. The cubic root of 78864000 is about 428.8376758312.

The spelling of 78864000 in words is "seventy-eight million, eight hundred sixty-four thousand".