78624000 has 576 divisors, whose sum is σ = 357127680. Its totient is φ = 16588800.

The previous prime is 78623999. The next prime is 78624023. The reversal of 78624000 is 42687.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 6047994 + ... + 6048006.

Almost surely, 2^78624000 is an apocalyptic number.

78624000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178563840).

78624000 is an abundant number, since it is smaller than the sum of its proper divisors (278503680).

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

78624000 is a wasteful number, since it uses less digits than its factorization.

78624000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 78624000 is about 8867.0175369174. The cubic root of 78624000 is about 428.4022189153.

Adding to 78624000 its reverse (42687), we get a palindrome (78666687).

The spelling of 78624000 in words is "seventy-eight million, six hundred twenty-four thousand".