78546000 has 320 divisors, whose sum is σ = 292481280. Its totient is φ = 17971200.

The previous prime is 78545953. The next prime is 78546031. The reversal of 78546000 is 64587.

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 63 ways as a sum of consecutive naturals, for example, 1481974 + ... + 1482026.

It is an arithmetic number, because the mean of its divisors is an integer number (914004).

Almost surely, 2^78546000 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 78546000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146240640).

78546000 is an abundant number, since it is smaller than the sum of its proper divisors (213935280).

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

78546000 is a wasteful number, since it uses less digits than its factorization.

78546000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 78546000 is about 8862.6181233313. The cubic root of 78546000 is about 428.2605046413.

The spelling of 78546000 in words is "seventy-eight million, five hundred forty-six thousand".