78654000 has 80 divisors (see below), whose sum is σ = 253599840. Its totient is φ = 20972800.

The previous prime is 78653999. The next prime is 78654049. The reversal of 78654000 is 45687.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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

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, 555 + ... + 12554.

It is an arithmetic number, because the mean of its divisors is an integer number (3169998).

Almost surely, 2^78654000 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 78654000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126799920).

78654000 is an abundant number, since it is smaller than the sum of its proper divisors (174945840).

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

78654000 is a wasteful number, since it uses less digits than its factorization.

78654000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13135 (or 13119 counting only the distinct ones).

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

The square root of 78654000 is about 8868.7090379604. The cubic root of 78654000 is about 428.4566994483.

Adding to 78654000 its reverse (45687), we get a palindrome (78699687).

The spelling of 78654000 in words is "seventy-eight million, six hundred fifty-four thousand".