78654400 has 168 divisors, whose sum is σ = 218267280. Its totient is φ = 27648000.

The previous prime is 78654397. The next prime is 78654403. The reversal of 78654400 is 445687.

It is an interprime number because it is at equal distance from previous prime (78654397) and next prime (78654403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78654403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 721546 + ... + 721654.

It is an arithmetic number, because the mean of its divisors is an integer number (1299210).

Almost surely, 2^78654400 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 78654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109133640).

78654400 is an abundant number, since it is smaller than the sum of its proper divisors (139612880).

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

78654400 is a wasteful number, since it uses less digits than its factorization.

78654400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 78654400 is about 8868.7315891282. The cubic root of 78654400 is about 428.4574257619.

The spelling of 78654400 in words is "seventy-eight million, six hundred fifty-four thousand, four hundred".