78854400 has 243 divisors, whose sum is σ = 289747731. Its totient is φ = 20459520.

The previous prime is 78854371. The next prime is 78854401. The reversal of 78854400 is 445887.

The square root of 78854400 is 8880.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 7485696 + 71368704 = 2736^2 + 8448^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (78854401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2131182 + ... + 2131218.

Almost surely, 2^78854400 is an apocalyptic number.

78854400 is the 8880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78854400

78854400 is an abundant number, since it is smaller than the sum of its proper divisors (210893331).

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

78854400 is a wasteful number, since it uses less digits than its factorization.

78854400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The cubic root of 78854400 is about 428.8202745296.

Multiplying 78854400 by its sum of digits (36), we get a square (2838758400 = 53280²).

78854400 divided by its sum of digits (36) gives a square (2190400 = 1480²).

The spelling of 78854400 in words is "seventy-eight million, eight hundred fifty-four thousand, four hundred".